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Solving Basic Equations
Example 9

Example 9: Solving Linear Equations

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

Problem

Solve 6x−2=28\text{Solve }6x-2=28

1. Recognize Pattern

ax+b=c⇒x=c−baax+b=c\Rightarrow x=\frac{c-b}{a}

2. Apply Method

−9x+6=51⇒x=−5-9x+6=51\Rightarrow x=-5

3. Conclude

x=5x=5

Final answer

x=5x=5
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