Answer:
x = 13
Step-by-step explanation:
[tex]\huge{ \frac{x - 5}{2} + \frac{x - 1}{8} = \frac{x - 3}{4} + \frac{x - 4}{3}} [/tex]
[tex]\huge{24( \frac{x - 5}{2} + \frac{x - 1}{8} ) = 24( \frac{x - 3}{4} + \frac{x - 4}{3} )}[/tex]
[tex]\huge{24( \frac{x - 5}{2} + \frac{x - 1}{8} ) = 24( \frac{x - 3}{4} + \frac{x - 4}{3} )}[/tex]
[tex]\huge{24 \times \frac{x - 5}{2} + 24 \times \frac{x - 1}{8} = 24 \times \frac{x - 3}{4} + 24 \times \frac{x - 4}{3}} [/tex]
[tex]12(x - 5) + 3(x - 1) = 6(x - 3) + 8(x - 4)[/tex]
[tex]12x - 60 + 3x - 3 = 6x - 18 + 8x - 32[/tex]
[tex]15x - 63 = 14x - 50[/tex]
[tex]15x - 14x = - 50 + 63[/tex]
[tex]x = - 50 + 63[/tex]
[tex]\boxed{\green{x = 13}}[/tex]
