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+24x - 7 = 5x + 2.

Solution:

  1. Subtract 4x4x from both sides:
    −7=x+2-7 = x + 2
  2. Subtract 2 from both sides:
    −9=x-9 = x

So, x=−9x = -9.

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

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