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Solving Two-Step Equations




 

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

Related Topics:
More Lessons on Algebra

Free Math Worksheets

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 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:




This video explains how to solve basic two step equations.
a) 2x + 3 = 9
b) 5x – 8 = 22
c) 9 – 2x = 23
d) –11 = 4x – 43
e) –15 = 5 – 5x
This video explains how to solve two step equation with fractions. In this video, the equations are solve by working with the fraction, not be clearing the fractions from the equation.


 
This video provides examples of solving two step linear equations involving decimals.
This video explains how to solve the different types of two step equations.


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


 

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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