Solving Equations with a Variable on Both Sides

Describe what was done in each solving step!

• Combine Like Terms

• Step 3

• Subtract 4x from both sides

• Step 2

• Distribute

• Step 1

3x + 10 + 2x = 2 (x + 8)

Label the two steps in the appropriate spots where they took place.

a

b

Distributive property

Combine like terms

• 6

• no solution

• identity

• -3

• 5

• no solution

• identity

• -5

Solve the equation for the variable

The square and equilateral triangle below have the same perimeter. Find the value of x. Then, find the perimeter of each shape. Equation:​ (a)   X = ​ (b)   Perimeter: ​ (c)  

• 2

• 36

• 5

• 42

Solve the equation for the variable

Solve the equation.

7x - 9 - 3x = 4 ( x +3 ) +1 

• -2

• no solution

• 1

• infinite solutions

Solve the equation for the variable

Solve the equation for the variable