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Rational Expressions
Example 5

Example 5: Rational Equation Setup

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

Problem

Solve x+43=6\text{Solve }\frac{x+4}{3}=6

1. Recognize Pattern

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

2. Apply Method

x−58=3⇒x=29\frac{x-5}{8}=3\Rightarrow x=29

3. Conclude

x=3(6)−4=14x=3(6)-4=14

Final answer

x=3(6)−4=14x=3(6)-4=14
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