Solve: 6x + 1/2 + 1 = 7x - 3/3

Since L.C.M. of denominators 2 and 3 = 6, multiply each term with 6 to get: ⇒ 3(6x \+ 1) \- 2(7x \- 3) = \- 6 ⇒ (18x \+ 3) \- (14x \- 6) = \- 6 ⇒ 18x \+ 3 \- 14x \+ 6 = - 6 ⇒ 4x \+ 9 = \- 6 ⇒ 4x = \- 6 \- 9 ⇒ 4x = \- 15 ⇒ x = \- Hence, the value of x is .