One Variable on Both Sides Equations

8x - 8 = -4x + 16

• x = 8

• x = 16

• x = 24

• x = 2

7w + 5 = 3w - 15

• w = 5

• w = -2

• w = 2

• w = -5

6x + 10 = 2(3x + 4)

• x = 0

• x = 2

• No solutions

• Infinite solutions

7x = 4x + 33

• x = 3

• x = 11

• x = 21

• x = 88

• Combining  $-14x$  and  $3x$  to get  $-11x.$  

• Adding 7 to both sides of the equation.

• Subtracting 2 from both sides of the equation. 

Solve: -18 - 6x = 6(1 + 3x)

• -1

• 1

• No Solution

• Infinite Solutions

What is the first step you should take to solve this problem?

1 + 4n - 6n = 1 - 8n

• subtract 8n to both sides

• multiply 6n to both sides

• combine the like terms 4n + -6n

• add 1 to both sides

What is the first step you should take to solve this problem?

-3(x - 2) = -8 +9b

• add 8 to both sides

• subtract 9b from both sides

• Distribute -3 to the x and -2

• add 2 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

What is the first step to solve this equation:
11 - 3x = 44

• Add 3 to both sides

• Subtract 11 from both sides

• Add 11 to both sides

• Divide 3 on both sides.