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Rational Expressions
Example 7

Example 7: Rational Equation Setup

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

Problem

Solve x−86=−4\text{Solve }\frac{x-8}{6}=-4

1. Recognize Pattern

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

2. Apply Method

x+14=9⇒x=35\frac{x+1}{4}=9\Rightarrow x=35

3. Conclude

x=6(−4)+8=−16x=6(-4)+8=-16

Final answer

x=6(−4)+8=−16x=6(-4)+8=-16
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