Question

5 / 8x - 2 = -4 / 7 - x

Answer 1

\(\dfrac{5}{8x-2}=\dfrac{-4}{7-x}\)

\(\Leftrightarrow-4\left(8x-2\right)=5\left(7-x\right)\)

\(\Leftrightarrow-32x+8=35-5x\)

\(\Leftrightarrow-32x+5x=35-8\)

\(\Leftrightarrow-27x=27\)

\(\Leftrightarrow x=-1\)