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
- Subtract one variable term from both sides to collect the variable on one side.
- Use addition or subtraction on both sides to isolate the variable term.
- 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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Write two different linear expressions that equal 23 when x = 4. Equate them and solve.
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