College Algebra (10th Edition)

{$-2$}
$\frac{3x}{x-1}=2$ Where $x\ne1$ $3x=2(x-1)$ Use cross multiplication. $3x=2x-2$ Distribute. $3x-2x=2x-2x-2$ Subtract 2x from both sides. $x=-2$ The solution is {$-2$}.