Solve With Variables on Both Sides

Describe what was done in each solving step!

• Combine Like Terms

• Step 5

• Distribute

• Step 2

• Divide by -10 on both sides

• Step 3

• Subtract 10 from both sides

• Step 4

• Subtract 4x from both sides

• Step 1

Solve the equation for the variable

Mathematical Equivalence

ON

Solve the equation for the variable

Solve the equation. Show your work

7 – 3r = r – 4(3 + r)

• 0

• no solution

• -3

• infinite solutions

You rewrote the equation after multiplying the LCD 4 to equal 2x - 20 = 3x + 12 What is the value of x?

Mathematical Equivalence

ON

22+2a=37+6+a

• a = 21

• a = 5

• a = -5

• a = -16

(²⁄₃)a+1=16-a

• a = 0

• a = 9

• a = 22.5

• a = -3

3a-24=-a

• a = 6

• a = 12

• a = -8

• a = -12

8-3a+12=2a

• a = 4

• a = 1

• a = 3

• a = 5