Solving Linear Equations Math Example 1

Follow the full solution, then compare it with the other examples linked below.

Example 1

easy
Solve 3x+7=223x + 7 = 22.

Solution

  1. 1
    Subtract 7 from both sides: 3x=22−7=153x = 22 - 7 = 15.
  2. 2
    Divide both sides by 3: x=153=5x = \frac{15}{3} = 5.
  3. 3
    Check: 3(5)+7=15+7=223(5) + 7 = 15 + 7 = 22 ✓

Answer

x=5x = 5
To solve a linear equation, isolate xx by performing inverse operations. Always verify your answer by substituting back into the original equation.

About Solving Linear Equations

The process of finding the value of the variable that makes a linear equation true, using inverse operations to isolate the variable on one side of the equals sign. A linear equation has the variable raised only to the first power, producing exactly one solution.

Learn more about Solving Linear Equations →

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