Model and Solve One-Variable Equations with Variables on Both Sides of the Equal Sign

Solve:
7x + 19 = -2x + 55

• 4

• 14.8

• 8.2

• -4

Solve:
2(2x + 3) = -6(x + 9)

• 2

• 6

• -6

• 7.5

Solve for x:
8x + 2 + 3x + 5 = x + 12

• -1/2

• 2

• -2

• 1/2

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Describe what was done in each solving step!

• Divide by -10 on both sides

• Step 5

• Distribute

• Step 1

• Subtract 4x from both sides

• Step 3

• Combine Like Terms

• Step 4

• Subtract 10 from both sides

• Step 2

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 (right side)

/2x (left side)

-2x (left side)

-2x (right side)

Mathematical Equivalence

ON

Solve the equation for the variable

• 4

• -10

• 1

• -1

Solve the equation for the variable

• 5

• 10

• 12

• 17