Question

Help me solve this equation please

Answer 1

`-17x = 234`

Explanation:

`(2x)/(3) - (5x)/(9) - (x)/(6) - (5x)/(12) = (13)/(2)`

First, we find the LCD. It is 36. Multiply both sides by 36.

`36\left((2x)/(3) - (5x)/(9) - (x)/(6) - (5x)/(12)\right) = 36\left((13)/(2)\right)`

`36\left((2x)/(3)\right) - 36\left((5x)/(9)\right) - 36\left((x)/(6)\right) - 36\left((5x)/(12)\right) = (36)/(2)(13)`

`(36)/(3)(2x) - (36)/(9)(5x) - (36)/(6)(x) - (36)/(12)(5x) = 18(13)`

`12(2x) - 4(5x) - 6(x) - 3(5x) = 234`

`24x - 20x - 6x - 15x = 234`

`-17x = 234`