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Rational Expressions
Example 6

Example 6: Rational Equation Setup

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

Problem

Solve x−86=1\text{Solve }\frac{x-8}{6}=1

1. Recognize Pattern

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

2. Apply Method

x−23=6⇒x=20\frac{x-2}{3}=6\Rightarrow x=20

3. Conclude

x=6(1)+8=14x=6(1)+8=14

Final answer

x=6(1)+8=14x=6(1)+8=14
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