Solving with Variables on Both Sides

x=

Mathematical Equivalence

ON

Solve

• No solution

• Infinite solution

• x = 17

• x=-2

Solve

• No solution

• Infinite solution

• x = 17

• x=-2

Solve

• No solution

• Infinite solution

• x = 17

• x=-2

Put the Steps or solving Equations with Variables on both sides in order.

• Distribute

• Combine Like terms

• Move the variables to one side

• + or - the constant

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

• subtract 8n to both sides

• multiply 6n to both sides

• combine the like terms 4n + -6n

8x - 8 = -4x + 16

• x = 8

• x = 16

• x = 24

• x = 2

7x = 4x + 33

• x = 3

• x = 11

• x = 21

• x = 88

3x - 7 = -5x + 17

• x = 5

• x = 12

• x = 3

• x = 1.2

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

• -1

• 1

• No Solution

• Infinite Solutions