Solving Linear Equations Math Example 2

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

Example 2

medium
Solve 2(x−3)+4=3x−82(x - 3) + 4 = 3x - 8.

Solution

  1. 1
    Expand the left side: 2x−6+4=3x−82x - 6 + 4 = 3x - 8.
  2. 2
    Simplify: 2x−2=3x−82x - 2 = 3x - 8.
  3. 3
    Subtract 2x2x from both sides: −2=x−8-2 = x - 8.
  4. 4
    Add 8 to both sides: x=6x = 6.
  5. 5
    Check: 2(6−3)+4=2(3)+4=102(6 - 3) + 4 = 2(3) + 4 = 10 and 3(6)−8=18−8=103(6) - 8 = 18 - 8 = 10 ✓

Answer

x=6x = 6
When variables appear on both sides, first expand and simplify, then collect variable terms on one side and constants on the other.

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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