One Variable with Variables on Both Sides

3 + 12(3p + 2) = 9(p - 3)

• -20

• -13

• -2

• -18

-12(x - 1) = -3(x - 1)

• 10

• 1

• 14

• 23

-10x - 135 = 117 + 2x

• 25

• -18

• -21

• 22

-49 - x = -8x + 70

• 15

• 17

• 14

• 19

Mathematical Equivalence

ON

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

5x + 10 = 2x + 16

What is the next step? Drag the correct part under the equation. Be sure to put the one labeled left on the left.

d

a

-2x (left side)

/2x (right side)

-2x (right side)

/2x (left side)

Describe what was done in each solving step!

• Subtract 10 from both sides

• Step 2

• Distribute

• Step 1

• Divide by -10 on both sides

• Step 4

• Subtract 4x from both sides

• Step 5

• Combine Like Terms

• Step 3

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

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

a

b

Combine like terms

Distributive property

Mathematical Equivalence

ON

Solve the equation for the variable