Equations With Variables on Both Sides

Solve: 5x + 15 = 10x - 40

• x = 10

• x = -10

• x = 11

• x = -11

Solve: -2x + 18 = 2x + 40

• x = -5.5

• x = 6.5

• x = -4.5

• x = 5.5

Solve: 4x - 3 = 6x - 19

• x = -8

• x = 11

• x = -11

• x = 8

Solve:
2(4x-3) - 8 = 4 + 2x

• x = 5/3

• x = 3

• x = 1

• x = 2

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 (right side)

/2x (right side)

/2x (left side)

-2x (left side)

• 1/2

• 4

• 3

• 1

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Describe what was done in each solving step!

• Subtract 10 from both sides

• Step 5

• Combine Like Terms

• Step 3

• Subtract 4x from both sides

• Step 4

• Distribute

• Step 1

• Divide by -10 on both sides

• Step 2