Question

( x - 5 ) / 10 + ( 1 - 2x ) / 5 = ( 3 - x ) / 4​

Answer 1

$\small\boxed{\begin{array}{l}\rm\dfrac{x-5}{10}+\dfrac{1-2x}{5}=\dfrac{3-x}{4}\\\sf multiplicando\,por\,20\,dos\,dois\,lados\,temos:\\\rm 20\cdot\dfrac{x-5}{10}+20\cdot\dfrac{1-2x}{5}=20\cdot\dfrac{3-x}{4}\\\\\rm 2\cdot(x-5)+4\cdot(1-2x)=5\cdot(3-x)\\\rm 2x-10+4-8x=15-5x\\\rm 8x-2x-5x=-10+4-15\\\rm x=-21\\\\\rm S=\{-21\}\end{array}}$