Sometimes solving for a variable requires more than one step. This lesson demonstrates how to solve for a variable when there is addition or subtraction as well as multiplication involving fractions. It is important to understand that the concepts don’t change whether there are whole numbers, decimals, or fractions in the equation. The principles of how to solve for a variable are still the same.

Video Source (06:53 mins) | Transcript

Equations can be much more complicated than simply having two operations. The following video will show you how to solve equations with many steps.

Video Source (12:45 mins) | Transcript

Remember, break these large problems down step by step by the Order of Operations (PEMDAS), then undo these steps by going backward and doing the inverse operation to find out what the variable is. It is important that we do each of these operations to both sides of the equation.

**Helpful Tip**: Rewrite the problem after you do each step so you don’t lose track of what has already been done.

## Additional Resources

- Khan Academy: Example of Two-step Equations (03:03 mins, Transcript)
- Khan Academy: Linear Equations 2 (06:06 mins, Transcript)
- Khan Academy: Equations with Parentheses (06:03 mins, Transcript)

### Practice Problems

- \(\dfrac{3}{2}{\text{x}} + \dfrac{1}{4} = \dfrac{13}{4}\) (Solution
- \(\dfrac{1}{3} - \dfrac{2}{3}{\text{x}} = 3\) (Solution
- \(3=-2{\text{D}}+\dfrac{2}{3}\) (Solution
- \(-\dfrac{2}{3}=\dfrac{2}{3}{\text{U}}{-}\dfrac{1}{2}\) (Video Solution
- \(8 = (5{\text{x}} {-} 2) - 5\) (Solution
- \(2\left ( \dfrac{{\text{F}}+1}{-2}\right )-8=-4\) (Video Solution
- \(1.3{\text{d}} + 5.2 = -2.6\) (Solution

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