Solve the following equation:

8 (x – 3) – (6 – 2x) = 2 (x + 2) – 5 (5 – x)

Given equation: 8 (x – 3) – (6 – 2x) = 2 (x + 2) – 5 (5 – x)

⇒ 8x – 24 – 6 + 2x = 2x + 4 – 25 + 5x (Removing

brackets)

8x + 2x – 24 – 6 = 2x + 5x + 4 – 25

10x – 30 = 7x – 21

⇒ 10x – 7x = -21 + 30 (Transposing 7x to LHS and 30 to

RHS)

3x = 9

⇒ x = (Transposing 3 to RHS)

x = 3

∴ The solution of 8 (x – 3) – (6 – 2x) = 2 (x + 2) – 5 (5 – x)

is x = 3.