Linear Equations on Both Sides

• a = - 2

• a = 2

• a = 5

• a = -1

• all real numbers

• x = 4

• x = -1

• no solution

• Add 3 to both sides

• Add 11 to both sides

• Subtract 11 from both sides

• Divide by 3 on both sides

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)

Mathematical Equivalence

OFF

Describe what was done in each solving step!

• Combine Like Terms

• Step 3

• Distribute

• Step 2

• Divide by -10 on both sides

• Step 5

• Subtract 10 from both sides

• Step 1

• Subtract 4x from both sides

• Step 4

Solve the equation for the variable

Solve the equation for the variable

• 5

• 10

• 12

• 17

Solve the equation for the variable

• 4

• -10

• 1

• -1