Solving Two-Step EquationsIn this lesson, we will look at solving equations that require two steps. 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.
In the equation 3x – 2 = 16, notice that the variable is being multiplied and has a term being subtracted. To isolate the variable, we need to add 2 to both sides and then divide both sides by 3. Example: Solve 3x – 2 = 16 Solution: 3x – 2 = 16 3x – 2 + 2 = 16 + 2 (add 2 to both sides) 3x = 18 (simplify) x = 6 (divide both sides by 3) Check: 3x – 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:
The following videos show more examples of solving two-step equations.
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