Solving Three-Step Equations

Solving Multi-Step Equations

2021

An Equation is a statement that says both sides of the equal sign are equivalent, or the same.

Here are the steps in solving a multi-step equation:

• Distributive Property

• Combine like terms (on the same side of the equation)

• Use inverse operations to put variables and constants on opposite sides of the equation.

• Isolate the variable

EXAMPLES with Distribution

4(n - 2) = 28

32 = -4(x - 3)

EXAMPLES with Like Terms

-8e + 7 + 3e = -13

1 - 3p − 5 = −16

3r + 4(r - 2) = 13

EXAMPLE

​with Distribution and Like Terms

EXAMPLE

48 = 6(3x - 1) + 9x

​this video covers all the kinds of examples we have done in this lesson

Multiple Choice

Solve the following equation:

2m + 6m + 2m = 20

• m = 40

• m = 20

• m = 3

• m = 2

Multiple Choice

$$42=2\left(1+4x\right)+2x$$  

• 10

• -1

• 11

• 4

Multiple Select

Solve for x: x - 5 = 3x + 2

• 7

• 3.5

• -3.5

• 1.5