Question

Solve: $-\frac{5x-4}{8}-\frac{x-3}{5}=\frac{x-6}{4}$

Answer 1

$-\frac{5x-4}{8}-\frac{x-3}{5}=\frac{x-6}{4}$

$\Rightarrow \frac{-25x+20-8x+24}{40}=\frac{x-6}{4}$

$\Rightarrow \frac{-33x-44}{40}=\frac{x-6}{4}$

$\Rightarrow -33x+44=\frac{40(x-6)}{4}$

$\Rightarrow -33x-44=10x-60$

$\Rightarrow -33x-10x=-60+44$

$\Rightarrow x=\frac{16}{43}$

$\Rightarrow x=\frac{16}{43}$

Hence, this is the answer.