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Rational Expressions
Example 11

Example 11: Rational Equation Setup

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

Problem

Solve x+63=6\text{Solve }\frac{x+6}{3}=6

1. Recognize Pattern

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

2. Apply Method

x−44=−4⇒x=−12\frac{x-4}{4}=-4\Rightarrow x=-12

3. Conclude

x=3(6)−6=12x=3(6)-6=12

Final answer

x=3(6)−6=12x=3(6)-6=12
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