Solving Linear Equations: Example and Solution

 

How to Solve Linear Equations – Step-by-Step Solution

Introduction:
Linear equations are foundational in algebra. Here's an example showing how to solve a linear equation step-by-step.

Problem:
Solve the equation $4x - 7 = 5x + 2$.

Solution:

1. Subtract $4x$ from both sides:
   $-7 = x + 2$
2. Subtract 2 from both sides:
   $-9 = x$

So, $x = -9$.

Conclusion:
Linear equations are solved by isolating the variable. Practicing these steps will help you gain confidence in solving similar problems.