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Rational Expressions
Example 3

Example 3: Rational Equation Setup

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

Problem

Solve x−68=−5\text{Solve }\frac{x-6}{8}=-5

1. Recognize Pattern

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

2. Apply Method

x+48=−3⇒x=−28\frac{x+4}{8}=-3\Rightarrow x=-28

3. Conclude

x=8(−5)+6=−34x=8(-5)+6=-34

Final answer

x=8(−5)+6=−34x=8(-5)+6=-34
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