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Solving Basic Equations
Example 10

Example 10: Solving Linear Equations

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

Problem

Solve 6x−10=−16\text{Solve }6x-10=-16

1. Recognize Pattern

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

2. Apply Method

−5x−15=45⇒x=−12-5x-15=45\Rightarrow x=-12

3. Conclude

x=−1x=-1

Final answer

x=−1x=-1
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