Question

solve: 3/x-2+8/x+3=2

show working please :)

Answer 1

Do you mean x under denominator like this?
3/(x-2) + 8/(x+3) = 2

Answer 2

yes :)

Answer 3

Common denominator is (x +3) (x-2)
3 ( x +3) + 8 (x -2) = 2 (x +3) (x-2)
3x +9 + 8x - 16 = 2 ( x^2 +x -6)
2x^2 + 2x - 12 = 3x +9 + 8x - 16
2x^2 -9x -5 = 0
x = (+9 +/- 11 )/4
= x = 5, x = -1/2

Answer 4

yayyyy thank you! :D