(x - 5)/( - 2) = (x - 1)/( - 3)

Question

`(x - 5)/( - 2) = (x - 1)/( - 3)`

Answer 1

`\bf \cfrac{x-5}{-2}=\cfrac{x-1}{-3}\implies \cfrac{5-x}{2}=\cfrac{1-x}{3}\impliedby \begin{array}{llll} \textit{let's multiply both sides}\\ \textit{by the LCD of 6, to do}\\ \textit{away with the denominators} \end{array} \\\\\\ 6\left( \cfrac{5-x}{2} \right)=6\left( \cfrac{1-x}{3} \right)\implies 3(5-x)=2(1-x) \\\\\\ 15-3x=2-2x\implies 13=x`