Question

Please answer this question

Answer 1

       $\underline{\bold{Answer:}}$

       $7$

       $\underline{\bold{Step-by-step-explaination:}}$

       $\boxed{\frac{3x-1}{5} - \frac{5x+ 1}{6} = \frac{x+1}{8} - 3}$

       $\text{Taking LCM of denominators and adding the fractions}$

$\implies \boxed{\frac{6(3x-1) - 5(5x+1)}{30} = \frac{x+1- 8(3)}{8}}$

$\implies \boxed{\frac{18x - 6 - 25x - 5}{30} = \frac{x+1-24}{8}}$

$\implies \boxed{\frac{-7x - 11}{30} = \frac{x-23}{8}}$

$\implies \boxed{\frac{-7x - 11}{15} = \frac{x-23}{4}}$

$\implies \boxed{4(-7x - 11) = 15(x-23)}$

$\implies \boxed{-28x - 44 = 15x - 345}$

$\implies \boxed{-28x - 44- 15x + 345 = 0}$

$\implies \boxed{-43x + 301 = 0}$

$\implies \boxed{-43x = -301}$

$\implies \boxed{x = \frac{-301}{-43} }$

$\implies \boxed{x = 7 }$