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Rational Expressions
Example 10

Example 10: Rational Equation Setup

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

Problem

Solve x+74=−2\text{Solve }\frac{x+7}{4}=-2

1. Recognize Pattern

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

2. Apply Method

x−25=−2⇒x=−8\frac{x-2}{5}=-2\Rightarrow x=-8

3. Conclude

x=4(−2)−7=−15x=4(-2)-7=-15

Final answer

x=4(−2)−7=−15x=4(-2)-7=-15
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