Salut!
[tex] \frac{5x + 8}{6} - \frac{5 - x}{2} = \frac{2x - 7}{2} - \frac{1 - 2x}{3} [/tex]
[tex] \frac{5x - 8}{6} - \frac{3(5 - x)}{6} = \frac{3(2x - 7)}{6} - \frac{2(1 - 2x) }{6} [/tex]
[tex](5x + 8) - (15 - 3x) = (6x - 21) - (2 - 4x) \\ [/tex]
[tex]5x + 8 - 15 + 3x = 6x - 21 - 2 + 4x[/tex]
[tex]8x - 7 = 10x - 23[/tex]
[tex] - 7 = 10x - 8x - 23[/tex]
[tex] - 7 + 23 = 2x \\ 2x = 16 \\ x = 8[/tex]
