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Equations with parentheses worksheets Grades 7–8

Distribute first, then solve the equation.

The front of the free equations with parentheses worksheet
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Free · Worked example · 10 problems · Answer key · US Letter

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How to do it

Distribute first, then solve.

5(x+6)=−55(x + 6) = -5
5x+30=−55x + 30 = -5distribute
5x=−5−305x = -5 - 30subtract 30 from both sides
5x=−355x = -35
x=−7x = -7divide both sides by 5

Example problems

  1. −(x−5)=3x+33-(x - 5) = 3x + 33
  2. 3(x−9)=4x−303(x - 9) = 4x - 30
  3. 5(x−7)=x−315(x - 7) = x - 31
  4. −4(x+9)=−40-4(x + 9) = -40

Expressions and equations

  1. Evaluating expressions
  2. Combining like terms
  3. The distributive property
  4. One-step equations
  5. Two-step equations
  6. Equations with variables on both sides
  7. Equations with parentheses
  8. Equations with fractions and decimals
  9. Solving inequalities