Solving Equations with Variables on Both Sides

Solve. Use a T-chart.

6(4x+2)= 3(8x+4)

• All Real Numbers

• No Solution

• 12

• 6

Tags

CCSS.8.EE.C.7A

Solve. Use a T-chart. 
-2(2f-4)= -4(-f +2)

• 2

• 16

• -8

• No Solution

Solve. Use a T-chart. 
-2m+13=2m-3

• 4

• No Solution

• -4

• 2

Solve. Use a T-chart.
-x -11= 2x+4

• -5

• 10

• -15

• 15

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 (right side)

-2x (left side)

Mathematical Equivalence

OFF

Tags

CCSS.7.EE.B.4A

• 6

• -6

• -1

• 3

Tags

CCSS.8.EE.C.7B

Mathematical Equivalence

ON

Tags

CCSS.8.EE.C.7B

Solve the equation:
3(x - 1) = 2x + 9

• x = 12

• no solution

• x = 10

• x = 6

Describe what was done in each solving step!

• Combine Like Terms

• Step 4

• Subtract 10 from both sides

• Step 2

• Subtract 4x from both sides

• Step 3

• Distribute

• Step 5

• Divide by -10 on both sides

• Step 1