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Simple Equations With Brackets or Fractions: Step-by-Step Solution Guide

Learn to solve equations with brackets, multiply brackets, manage fractions, and simplify expressions. Step-by-step solutions for various equation types included.

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Simple Equations With Brackets or Fractions: Step-by-Step Solution Guide

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  1. Solving Equations with Brackets or Fractions

  2. Solve 3(x + 4) = 24 3x + 12 = 24 3x + 12 – 12 = 24 -12 3x = 12 x = 4 Multiply brackets out Subtract 12 from each side Divide 3 into 12 Single Bracket

  3. More than one bracket • Solve 5(2x + 1) = 4(x – 2) + 10 • Multiply brackets out • 10x + 5 = 4x – 8 + 10 • Subtract 5 from each side • 10x + 5 – 5 = 4x – 8 + 10 – 5 • This gives 10x = 4x – 3 • Subtract 4x from each side

  4. More than one bracket • This gives6x = -3 • Divide -3 by 6 • x =

  5. (x + 2) = 4 2(x + 2) = 12 2x + 4 = 12 2x + 4 – 4 = 12 – 4 2x = 8 x = 4 Mutiply both sides by 3 to give Multiply brackets out Subtract 4 from each side Divide both sides by 2 Fractions

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