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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 6x10=16\text{Solve }6x-10=-16

1. Recognize Pattern

ax+b=cx=cbaax+b=c\Rightarrow x=\frac{c-b}{a}

2. Apply Method

5x15=45x=12-5x-15=45\Rightarrow x=-12

3. Conclude

x=1x=-1

Final answer

x=1x=-1