Question

Need to be show how to solve step by step. And find a least common multiple

Answer 1

A cheap way to go about it is, use the LCD and multiply both sides by it.

now, notice the denominators, x, 4, 4x, clearly the LCD is 4x, so let's multiply both sides by that, to do away with the denominators,

$\bf \cfrac{5}{x}+\cfrac{3}{4}=\cfrac{8}{4x}\implies \boxed{4x}\left( \cfrac{5}{x}+\cfrac{3}{4} \right)=\boxed{4x}\cdot \cfrac{8}{4x}\implies 20+3x=8 \\\\\\ 3x=-12\implies x=\cfrac{-12}{3}\implies x=-4$