Giải thích các bước giải:
$\dfrac{x+14}{86}+\dfrac{x+15}{85}+\dfrac{x+16}{84}+\dfrac{x+17}{83}+\dfrac{x+116}{4}=-4$
$\to (\dfrac{x+14}{86}+1)+(\dfrac{x+15}{85}+1)+(\dfrac{x+16}{84}+1)+(\dfrac{x+17}{83}+1)+(\dfrac{x+116}{4}-4)=-4$
$\to \dfrac{x+14+86}{86}+\dfrac{x+15+85}{85}+\dfrac{x+16+84}{84}+\dfrac{x+17+83}{83}+\dfrac{x+116-16}{4}=-4$
$\to \dfrac{x+100}{86}+\dfrac{x+100}{85}+\dfrac{x+100}{84}+\dfrac{x+100}{83}+\dfrac{x+100}{4}=-4$
$\to (x+100)(\dfrac{1}{86}+\dfrac{1}{85}+\dfrac{1}{84}+\dfrac{1}{83}+\dfrac{1}{4})=-4$
$\to x+100=-4:(\dfrac{1}{86}+\dfrac{1}{85}+\dfrac{1}{84}+\dfrac{1}{83}+\dfrac{1}{4})$
$\to x=-4:(\dfrac{1}{86}+\dfrac{1}{85}+\dfrac{1}{84}+\dfrac{1}{83}+\dfrac{1}{4})-100$