\(71+65\times4=\left(x+140\right):x+260\)
\(71+260=\left(x+140\right):x+260\)
\(71+260-260=\left(x+140\right):x\)
\(71=\left(x+140\right):x\)
\(71x=x+140\)
\(71x-x=140\)
\(70x=140\)
\(x=2\)
\(71+260=\frac{x+140}{x}+260\)
\(\frac{x+140}{x}=71+260-260=71\)
\(x+140=71x\)
\(x-71x=-140\)
\(-70x=-140\)
\(x=\frac{-140}{-70}=2\)
Vậy \(x=2\)