Question

X+6/2 - x-8/3 = 5 HELP PLEASE

Answer 1

(x + 6)/2 - (x - 8)/3 = 5
Multiply each term by 6:-
3(x + 6) - 2(x - 8) = 30
3x + 18 - 2x + 16 = 30
3x - 2x = 30 -18 - 16
x = 30 - 34
x = -4 (answer)

Answer 2

I assume you meant x + 6 as a numerator and x - 8 as a numerator although that is not what the equation you wrote means.

$\dfrac{x + 6}{2} - \dfrac{x - 8}{3} = 5$

$\dfrac{x + 6}{2} \times \dfrac{3}{3} - \dfrac{x - 8}{3} \times \dfrac{2}{2} = 5$

$\dfrac{3(x + 6)}{6} - \dfrac{2(x - 8)}{6} = 5$

$\dfrac{3x + 18}{6} - \dfrac{2x - 16}{6} = 5$

$\dfrac{3x + 18 - 2x + 16}{6} = 5$

$\dfrac{x + 34}{6} = 5$

$\dfrac{x + 34}{6} \times 6 = 5 \times 6$

$x + 34 = 30$

$x = -4$