Solve the following equation.

Given equation:

⇒ (LCM of 6 and 9 is 18)

LCM of 4 and 18 is 36.

(Multiplying by 36 on both sides)

2 (x + 13) = 9 (x + 3)

⇒ 2x + 26 = 9x + 27 (Removing brackets)

⇒ 2x – 9x = 27 – 26 (Transposing 9x to LHS and 26 to RHS)

-7x = 1

⇒ x = (Transposing -7 to RHS)

x =

∴ The solution of the given equation is x = .