Equations with Variables and Distributing on Each Side

10 x - 8 = 20 - 4 x

• x = 2

• x = -2

• x =7

• x = -4

14 x + 18 = -30 - 2 x

• x = - 3

• x = 2

• x = 3

• x = -7

5 x - 14 = 8 x + 4

• x = - 6

• x = 6

• x = - 3

• x = - 4

4 + 7 x = 3 x + 24

• x = 5

• x = -5

• x = - 3

• x = 3

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 (left side)

/2x (right side)

Mathematical Equivalence

ON

Tags

CCSS.8.EE.C.7B

Mathematical Equivalence

OFF

Tags

CCSS.7.EE.B.4A

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

Tags

CCSS.8.EE.C.7B

Describe what was done in each solving step!

• Distribute

• Step 2

• Subtract 4x from both sides

• Step 3

• Combine Like Terms

• Step 1