Equations With Variables on Both Sides Special Cases

What is the next step you should take?

14x + 8 = -3 - 7x

• Collect the variables (letters) on the left side

• multiply -7 to both sides

• add 14x to both sides

• subtract 7x to both sides

Jacob solved the following equation using the steps shown.

Step 1 5x + 9 = 2x - 3

Step 2 3x + 9 = -3

Step 3 3x = -12

Step 4 x = -4

What operation did he perform to get from Step 1 to Step 2?

• Subtracted 2x from both sides of the equation

• Subtracted 9 from both sides of the equation

• Multiplied both sides of the equation by 3

• Added -3 to both sides of the equation

5w + 5 = 8w - 10

• -5

• -2

• 2

• 5

Solve the equation

4x - 5x + 9 =5x - 9

• x = -3

• x = 9

• x = 3

• x = -9

8x - 8 = -4x + 16

• 8

• 16

• 24

• 2

2 + (¹∕₄)a = 10

• a= 32

• a= 48

• a= 2

• a= -2

50 = 28.1 + 0.15a

• a= 150

• a= 146

• a= 6

• a= 155

What is the final answer to

4(x - 2) = -3 + 5x

• 2

• -10

• -5

• -3

Solve:
7x = 3x + 24

• 6

• 10

• 14

• 4

Solve for x:
4(1-x) + 3x = -2(x+1)

• x = -6

• x = 6

• x = 3