Tìm số nguyên x, biết -x/2 + 2x/3 + x+1 / 4 + 2x+1 / 6 = 8/3

* Hướng dẫn giải

$\begin{array}{l}\frac{-x}{2}+\frac{2x}{3}+\frac{x+1}{4}+\frac{2x+1}{6}=\frac{8}{3}\\ \Rightarrow \frac{-6x+8x+3\left(x+1\right)+2\left(2x+1\right)}{12}=\frac{32}{12}\\ \Rightarrow \frac{9x+5}{12}=\frac{32}{12}\\ \Rightarrow 9x+5=32\\ \Rightarrow x=3\end{array}$