Combining Like Terms with Variables on Both Sides of the Equation

Solve equations with variables on both sides!

Solve equations with variables on both sides!

Solve equations with variables on both sides!

is 7 a solution to the equation
3x+8-x=5x-4

• yes

• no

• maybe

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

7x = 3x + 24

• 6

• 10

• 14

• 4

What is the final answer to

10 + 2n = 8n - 2n + 10 ?

• 12

• 5

• 0

• -15

What is the goal of solving an equation with variables on both sides of the equal sign?

• Find a value of x that makes both sides of the equal sign equal to each other.

• To combine like terms on each side of the equal sign.

• Find a value of x that makes one side of the equation correct.

• To distribute/ combine terms terms on each side of the equal sign

Solve for x:
5x - 14 = 8x + 4

• x = 6

• x = -6

• x = -18/13

• x = 10/3