1. Solving Equations with Brackets or Fractions

2. Single Bracket 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

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 gives 6x = -3 Divide -3 by 6 x =

5. Fractions (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