Question

simply algebra question--i keep getting it wrong, but if you could solve it i should hopefully understand what ive been messing up on

Answer 1

Start with

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

Multiply both sides by 15 to get rid of denominators:

`5(5-2x)+15-3(3x-2)=-15x`

Expand the left hand side:

`25-10x+15-9x+6=-15x`

Move all terms involving x to the left and all numbers to the right:

`-10x-9x+15x=-25-15-6`

Sum like terms:

`-4x=-46`

Divide both sides by -4:

`x=(46)/(4)=(23)/(3)`