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Solving a Simple Linear Equation A simple linear equation looks like ax + b = c, where x is the variable you want to solve for. The goal is to isolate x on one side. Steps to Solve: Move constants to the other side: Subtract/add numbers so that only x remains on one side.

Pre-Algebra

How do you solve a simple linear equation?

Solving a Simple Linear Equation

A simple linear equation looks like ax + b = c, where x is the variable you want to solve for. The goal is to isolate x on one side.

Steps to Solve:

  • Move constants to the other side:
  • Subtract/add numbers so that only x remains on one side.

  • Divide by the coefficient:
  • If x has a number multiplied with it (a), divide both sides by this number.

    Example:
    Solve 2x + 3 = 11

    1. Subtract 3 from both sides:
    2. 2x + 3 - 3 = 11 - 3
      2x = 8

    3. Divide by 2:

    2x / 2 = 8 / 2
    x = 4

    Takeaways:

  • Always undo operations step-by-step to isolate x.
  • Check by plugging your solution back into the original equation.
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Walsh Pex

Walsh Pex is an educational technology specialist with over 8 years of experience helping students overcome academic challenges. He has worked with thousands of students across all education levels and specializes in developing AI-powered learning solutions that improve student outcomes.

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Last updated: September 22, 2025

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