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Solving Basic Equations
Example 5

Example 5: Solving Linear Equations

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

Problem

Solve −8x+2=58\text{Solve }-8x+2=58

1. Recognize Pattern

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

2. Apply Method

2x+14=−8⇒x=−112x+14=-8\Rightarrow x=-11

3. Conclude

x=−7x=-7

Final answer

x=−7x=-7
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