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Solving Basic Equations
Example 3

Example 3: Solving Linear Equations

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

Problem

Solve 5x+6=46\text{Solve }5x+6=46

1. Recognize Pattern

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

2. Apply Method

7x+6=76x=10-7x+6=76\Rightarrow x=-10

3. Conclude

x=8x=8

Final answer

x=8x=8