Solving Equations with Variables on Both Sides

Solve. Use a T-chart. 
-5(x+7)=-5x+35

• No Solution

• Identity 

• -35

• 7

Solve. Use a T-chart.

-x-11 = 2x+4

• -5

• 3

• All Real Numbers

• 5

Solve. Use a T-chart. 
5p + 6= 4p-8

• 14

• 14/9

• 3

• -14

Solve. Use a T-chart.

22(g-1)=2g+8

• 1.5

• All Real Numbers

• 11

• 22

Solve. Use a T-chart. 
-(4y-8) = 2(y+4)

• 0

• No Solution

• 6

• -2

Solve. Use a T-chart. 
11w + 2(3w-1)=15w

• 2

• 1

• No Solution

• 5

What is the next step to solve this equation?

n - 4 = -2

• Add 4 to both sides of the equation

• Add n to both sides of the equation

• Subtract n from both sides of the equation

• Subtract 4 from both sides of the equation

What is the first step to solve this equation? 3x + 6 = 10 + 3x + 4x 

• Add 4x to both sides of the equation

• Combine like terms 3x and 4x on the same side of the equation

• Add 3x and 6 to get 9x

• Add 6 and 10 to get 16

What is the next step to solve this equation?

3x + 6 = 10 + 7x

• Add 10 to both sides of the equation

• Add 6 to both sides of the equation

• Subtract 3x from both sides of the equation

• Add 7x to both sides of the equation