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Rational Expressions
Example 8

Example 8: Rational Equation Setup

Step-by-step worked example for this lesson track.

Problem

Solve x−45=2\text{Solve }\frac{x-4}{5}=2

1. Recognize Pattern

x+pq=r⇒x=qr−p\frac{x+p}{q}=r\Rightarrow x=qr-p

2. Apply Method

x−34=−4⇒x=−13\frac{x-3}{4}=-4\Rightarrow x=-13

3. Conclude

x=5(2)+4=14x=5(2)+4=14

Final answer

x=5(2)+4=14x=5(2)+4=14
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