iCoachMath.com: Examples on Solving Equations with Variables on Both Sides - Solving Equations - (MI)
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Solved Examples

Curriculum: Michigan Grade Level Mathematics Expectations   Click to change Curriculum

Topic: Solving Equations  Click to change Topic

Lesson: A1.2.1, 3: Solving Equations with Variables on Both Sides  Click to change Lesson

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BB  Solve: j4 + 49.48 = 4(j - 3)  BB View Solution
BB  Solve 2x = 21 - x.
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BB  Two trucks, loaded with cargo, start from Amsterdam. The first truck travels at a steady rate of 60 miles per hour and is 150 miles ahead of the second truck which travels at a steady rate of 90 miles per hour. What is the time taken by the second truck to catch up with the first truck?  BB View Solution
BB  Solve the equation.
7y - 2 = y + 10  BB
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BB  Choose the first step that would help you solve the equation - 3x = - 42 + 43x.
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BB  A library provides two types of cards for its members. A red card that costs $48 plus $2.25 rent per book and a yellow card costs $24 plus $3.75 rent per book. Find the number of books for which both cards would cost the same.
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BB  Solve the equation, 5(x + 3) = 5x + 15 and determine whether it has one solution, no solution, or is an identity.
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BB  Solve the equation 4(x + 11) = 4x + 8 and determine whether it has one solution, no solution or is an identity.
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BB  Solve:
7(x + 1) = 5x - 9  BB
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BB  Solve the equation 12(m - 3) = 4m + 3, for the value of m.
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BB  Solve:
5t - 3 + 21t = - 2t + 25
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BB  Solve:
- 4x - 6 = 2x + 18  BB
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BB  Solve:
- 6(2 - t) = 8t
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BB  The sum of a number and 10 less than that number is three times the same number. Find the number.  BB View Solution
BB  Solve:
6x = 30 + x  BB
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BB  Solve:
- 16p - 13 - 6p = - 6p - 9
  BB
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BB  Solve:
(213)x - 22 = (- 1113)x - 9  BB
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BB  Andy is trying to compare the rate plans of two telephone companies. Company-A charges a fixed monthly rental of $20 and calls are charged at $0.30 per minute. Company-B charges a fixed monthly rental of $10 and calls are charged at $0.40 per minute. Find the number of minutes for which the cost of both the plans remain the same.  BB View Solution
BB  Find the value of y in the equation 3y - 1 = y + 9.  BB View Solution
BB  Solve:
4p + 6 + 5p = 5p + 4
  BB
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BB  One more than the product of a number n and 2 is equal to the product of the number n and 3. Find the number n.  BB View Solution
BB  What is the value of x, if 2(x - 3) + 11 = 3x + 18?
  BB
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BB  What is the value of x, if 3(x - 3) + 12 = 2(x - 2) + 6?  BB View Solution
BB  Solve:
- 2x + 66 = 4x + 36
  BB
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BB  Solve:
17y - 7y + 18 = 8y + 24
  BB
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BB  Solve:
11y - 3y + 4 = 4y + 8
  BB
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BB  Solve: j7 + 26.73 = 7(j - 3)  BB View Solution
BB  Solve 2x = 27 - x.
  BB
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BB  Solve:
- 4x + 60 = 8x + 12
  BB
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BB  Solve the equation.
6y - 2 = y + 18  BB
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BB  Choose the first step that would help you solve the equation - 4x = - 47 + 15x.
  BB
View Solution
BB  A library provides two types of cards for its members. A red card that costs $36 plus $3.25 rent per book and a yellow card costs $24 plus $4.75 rent per book. Find the number of books for which both cards would cost the same.
  BB
View Solution
BB  Solve the equation, 2(x + 5) = 2x + 10 and determine whether it has one solution, no solution, or is an identity.
  BB
View Solution
BB  Solve the equation 5(x + 12) = 5x + 10 and determine whether it has one solution, no solution or is an identity.
  BB
View Solution
BB  Solve:
8(x + 1) = 4x - 20  BB
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BB  Solve the equation 13(m - 2) = 2m + 3, for the value of m.
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BB  Solve:
2t - 5 + 40t = - 4t + 41
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BB  Solve:
- 25p - 10 - 5p = - 5p - 5
  BB
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BB  Solve:
(517)x - 21 = (- 1217)x - 4  BB
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BB  Solve:
- 4x - 4 = 3x + 24  BB
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BB  Solve:
- 8(2 - t) = 10t
  BB
View Solution
BB  The sum of a number and 8 less than that number is three times the same number. Find the number.  BB View Solution
BB  What is the value of x, if 7x + 16 = 3x + 36?
  BB
View Solution
BB  Solve:
5x = 60 - x  BB
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BB  Andy is trying to compare the rate plans of two telephone companies. Company-A charges a fixed monthly rental of $20 and calls are charged at $0.50 per minute. Company-B charges a fixed monthly rental of $10 and calls are charged at $0.60 per minute. Find the number of minutes for which the cost of both the plans remain the same.  BB View Solution
BB  Find the value of y in the equation 5y - 1 = y + 15.  BB View Solution
BB  Solve:
6p + 11 + 5p = 5p + 9
  BB
View Solution
BB  Nine less than the product of a number n and 3 is equal to the product of the number n and 4. Find the number n.  BB View Solution
BB  What is the value of x, if 2(x - 4) + 13 = 3x + 20?
  BB
View Solution
BB  What is the value of x, if 4(x - 4) + 24 = 3(x - 3) + 15?  BB View Solution
BB  A parking lot has 112 vehicles, which includes both two-wheelers and four-wheelers. How many vehicles of each type are there in the parking lot, if the number of four-wheelers is 94 more than the number of two-wheelers?  BB View Solution
BB  Paul wants to go to Atlanta from San Francisco. He is comparing the rental plans of two companies. Henry Car Rentals charges $110 per week plus 60 cents per mile. William Car Rentals charges $95 per week plus 66 cents per mile. Find the number of miles for which the rental charges of the two companies are the same.  BB View Solution
BB  A parking lot has 158 vehicles, which includes both two-wheelers and four-wheelers. How many vehicles of each type are there in the parking lot, if the number of four-wheelers is 20 more than the number of two-wheelers?  BB View Solution
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