Question

solve for x. if there is more than one solution, use commas to separate your answers. x/x-3 + x/2 =6x/2x-6

Answer 1

x/x-3 + x/2 = 6x/2x-6

⇒ x/x-3 + x/2 = 3x/x-3

⇒ x/x-3 - 3x/x-3 = -x/2

⇒ -2x/x-3 = -x/2

Two cases:
1) x = 0
2) x ≠ 0
⇒ 2/x-3 = 1/2

⇒ x-3 = 4

⇒ x = 3+4 = 7

Solutions are: x= 0,7

Hope it helps!