Đáp án: $x=\dfrac{1423.8081}{9540.054}$
Giải thích các bước giải:
Ta có:
$17.659=\dfrac{(18.59+112x)\cdot 100}{94x+185.9}$
$\to 17.659\left(94x+185.9\right)=100\left(18.59+112x\right)$
$\to 1659.946x+3282.8081=1859+11200x$
$\to 1659.946x+3282.8081-3282.8081=1859+11200x-3282.8081$
$\to 1659.946x=11200x-1423.8081$
$\to 1659.946x-11200x=11200x-1423.8081-11200x$
$\to -9540.054x=-1423.8081$
$\to \dfrac{-9540.054x}{-9540.054}=\dfrac{-1423.8081}{-9540.054}$
$\to x=\dfrac{1423.8081}{9540.054}$