Solving Equations with Variables on Both Sides

​Solving Equations Review

Steps for Solving Equations

1. Use Distributive Property if necessary.

2. Combine Like Terms

3. Move terms with variables to one side of the equal sign.

4. Move constants (without v​ariables) to the other side.

5. Get variable by itself. ​

Example:

3(2x + 4) + 2x = 4x -12​ (Distribute the 3)

6x + 12 + 2x = 4x -12 (Combine Like Terms)

​8x + 12 = 4x - 12 (Subtract 4x on both sides)

-4x -4x​

4x + 12 = -12 (Subtract ​12 on both sides)

-12 -12​

4x = -24​ (Divide by 4 on both sides)

​÷4 ÷4

x = -6​