In these lessons, we will look at solving equations that require two steps.

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In order to solve two-step equations, we need to work backwards with regards to the order of operations. We would perform the addition & subtraction before multiplication & division.

1. Add or Subtract to isolate the variable term.

2. Multiply or divide to solve for the variable.

3. Check your solutions. In the equation 3

* Example: *

Solve 3*x* – 2 = 16

* Solution: *

3*x* – 2 = 16

3*x* – 2 + 2 = 16 + 2 (add 2 to both sides)

3*x = *18 (simplify)

*x* = 6 (divide both sides by 3)

*Check: *

3*x* – 2 = 16

3 • 6 – 2 = 16 (Substitute *x* = 6 into the original equation)

Consider the equation, . To isolate the variable, we need to subtract 2 from both sides and then multiply both sides by 4.

* Example: *

Solve

* Solution: *

* Check: *

a) 2

b) 5

c) 9 – 2

d) –11 = 4

e) –15 = 5 – 5

The following videos show more examples of solving two-step equations.

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