Question

Solve the following equation.

17 (x + 4) + 8 (x + 6) = 11 (x + 5) + 15 (x + 3)

Answer 1

17 (x + 4) + 8 (x + 6) = 11 (x + 5) + 15 (x + 3)

17x + 68 + 8x + 48 = 11x + 55 + 15x + 45

∴ 17x + 8x + 68 + 48 = 11x + 15x + 55 + 45

∴ 25x + 116 = 26x + 100

∴ 25x + 116 – 116 = 26x + 100 – 116   … (Subtracting 116 from both the sides)

∴ 25x = 26x – 16

∴ 25x – 26x = 26x – 16 – 26x   … (Subtracting 26x from both the sides)

∴ –x = –16

∴ x = 16