Answer
$x=\frac{2ab-2c}{3at-cd}$
Work Step by Step
We start by distributing. We have $3atx−2ab=cdx−2c$. We want to be able to factor out x so we move the terms with x to one side and the terms without x to the other side. We will add $2ab$ and $-cdx$ to both sides to get $3atx-cdx=2ab-2c$. Now we factor out x to get $x(3at-cd)=2ab-2c$. Finally, we divide both sides by $(3at-cd)$ to isolate x. $x=\frac{2ab-2c}{3at-cd}$
