Variables on both sides

Solving equations with variables on both sides

1. Distribute and combine if necessary

​ 3(x-5)=5x-3x+2

3x-15=2x+2

2. Remove the smallest variable

3x-15=2x+2

-2x -2x
x-15=2
+15 +15
x=17

Multiple Choice

3 + 12(3p + 2) = 9(p - 3)

• -20
• -13
• -2
• -18

Multiple Choice

• 4
• 2
• -2
• -4

Multiple Choice

4( x + 2) = 16

What is the solution to the equation?

• -2

• 0

• 1

• 2

Multiple Choice

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

Multiple Choice

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

Multiple Choice

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

Multiple Choice

4k + 24 = 6k -10

• k = 17

• k =-17

• k= 5

• k = 1/5

Multiple Choice

7p - 5 = 6p + 8

• p = 13

• p = -13

• p = 1/13

• p = - 1/13

Multiple Choice

3x - 32 = -7x + 28

• x = 6

• x = -6

• x = 1/6

• x = -1/6

Multiple Choice

Which of the following steps would NOT be a correct step towards solving the equation below:

$$-14x\ -\ 7\ =\ 3x\ +\ 2$$  

• Combining undefined and undefined to get undefined 

• Adding 7 to both sides of the equation.

• Subtracting 2 from both sides of the equation. 

• Subtracting  $$3x$$  from  $$-14x$$  to get  $$-17x.$$   

Multiple Choice

Solve for x:

3x - 7 = -5x + 17

• x = 5

• x = 12

• x = 3

• x = 1.2