Question

1/3(2x-4)+5=-2/3(x+1)

Answer 1

`(1)/(3)(2x-4)+5=-(2)/(3)(x+1)\\\\3 *[ (1)/(3)(2x-4)+5] = 3* -(2)/(3)(x+1)\\\\(2x-4) + 15 = -2(x+1)\\\\2x - 4 + 15 = -2(x+1)\\\\2x + 11 = -2(x+1) \\\\2x + 11 = -2x -2\\\\4x + 11 = -2\\\\4x = -13\\\\\boxed{\bf{x = -(13)/(4)}}`

Answer 2

`(1)/(3) (2x-4)+5=- (2)/(3)(x + 1) \\ \\ (2x-4)/(3) +5=- (2)/(3) (x + 1) \\ \\ (2x-4)/(3) +5=- (2(x + 1))/(3) \\ \\ 2(x - 2) + 15 = -2(x + 1) \\ \\ 2x - 4 + 15 = -2x - 2 \\ \\ 2x + 11 = -2x - 2 \\ \\ 2x + 11 + 2x = -2 \\ \\ 4x + 11 = -2 \\ \\ 4x = -2 - 11 \\ \\ 4x = -13 \\ \\ x = - (13)/(4) \\ \\ Answer: \fbox {x = -13/4} \ or \ \fbox {-3.25}`