Grade 8 · Math

Solve equations with variables on both sides

The idea

Subtract one variable term from both sides to collect the variable on one side.

Step by step
  1. Subtract one variable term from both sides to collect the variable on one side.
  2. Use addition or subtraction on both sides to isolate the variable term.
  3. Divide by its nonzero coefficient, then substitute the result into both original sides.

Example

Solve: 5x + 3 = 2x + 15. What is x?

Answer

4

Subtract 2x and 3 from both sides: 3x = 12. Divide by 3, so x = 4.

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Try it together

Write two different linear expressions that equal 23 when x = 4. Equate them and solve.

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