Solve (question no. 2-22) for x : 2x - 13/5 - x - 3/11 = x - 9/5 + 1

Since L.C.M. of denominators 5 and 11 = 55, multiply each term by 55 to get: ⇒ 11 (2x \- 13) \- 5 (x \- 3) = 11 (x \- 9) \+ 55 ⇒ (22x \- 143) \- (5x \- 15) = (11x \- 99) \+ 55 ⇒ 22x \- 143 \- 5x \+ 15 = 11x \- 99 \+ 55 ⇒ 17x \- 128 = 11x \- 44 ⇒ 17x \- 11x = 128 \- 44 ⇒ 6x = 84 ⇒ x = ⇒ x = 14 Hence, the value of x is 14.