Solving Equations: Variables on Both Sides

Solve: 5x + 15 = 10x - 40

• x = 10

• x = -10

• x = 11

• x = -11

Solve: 9x + 1 = 64

• x = 6

• x = 7

• x = 8

• x = 9

Solve: -2x + 18 = 2x + 40

• x = -5.5

• x = 6.5

• x = -4.5

• x = 5.5

Solve: 4x - 3 = 6x - 19

• x = -8

• x = 11

• x = -11

• x = 8

Solve: 12x + 1 = 6x - 47

• x = 6

• x = -7

• x = -8

• x = 9

Solve: -3x + 20 = 2x - 40

• x = 15

• x = 12

• x = -15

• x = -12

Solve: 14x + 16 = 13x - 42

• x = 62

• x = -65

• x = -58

• x = -47

Solve: 9 - 4x = 12x + 25

• x = 2

• x = 1

• x = -3

• x = -1

Which of the following are basic rules used for solving algebraic equations?

• Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal sign

• Negative signs can be ignored

• Always start on the left side, regardless of where the variable is

• Always do the opposite operation

What is the first step in the equation:

2x - 3 + 4x = 27

• Combine Like Terms

• Add 3 on both sides

• Divide by 2 on both sides

• Subtract 4x from both sides