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Solving Basic Equations
Example 12

Example 12: Solving Linear Equations

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

Problem

Solve −2x−6=−32\text{Solve }-2x-6=-32

1. Recognize Pattern

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

2. Apply Method

−7x+6=41⇒x=−5-7x+6=41\Rightarrow x=-5

3. Conclude

x=13x=13

Final answer

x=13x=13
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