Answer
$x=\frac{7}{4}$
Work Step by Step
Subtract $1$ from both sides to get $$\frac{3}{x-1}=4$$ Take the reciprocal of both sides to get $$\frac{x-1}{3}=\frac{1}{4}$$ Multiply both sides by $3$ to get $$x-1=\frac{3}{4}$$ Finally, add $1$ to both sides to get $$x=1+\frac{3}{4}=\frac{4}{4}+\frac{3}{4}=\frac{7}{4}$$
