Solving Equations with the Variable on Both Sides

Objective: I can solve equations with the variable on both sides..

Consider the equation x – 6 = –2 x + 3. Notice that both sides of the equation have a term with the variable. To isolate the variable, we need to get all the variable terms to one side and the constant terms to the other side. Next, we combine like terms and then isolate the variable by multiplying or dividing.

Look at the lesson on Solving Equations with the Variable on Both Sides if you need help before you start the worksheet.

Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!
Solve each equation.

x - 9 = - 15 + 7x
Answer: x =

6 - 7x = 4x + 17
Answer: x =

4 - 2x = 2x + 32
Answer: x =

7x + 1 = - 53 + x
Answer: x =

- 5 + 7x = - 4x + 39
Answer: x =

- 3x + 9 = 81 + 6x
Answer: x =

8 + 2x = 7x - 2
Answer: x =

3x + 10 = x + 28
Answer: x =

2x + 2 = 11 - 7x
Answer: x =

1 + 2x = - 2x + 25
Answer: x =

4x - 2 = 5x - 8
Answer: x =

2x - 5 = 4x - 5
Answer: x =

 




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