Answer
This equation has no solution
Work Step by Step
$\dfrac{x+1}{x-1}=\dfrac{3x}{3x-6}$
Take $x-1$ to multiply the right side and $3x-6$ to multiply the left side:
$(x+1)(3x-6)=3x(x-1)$
Evaluate the products on both sides:
$3x^{2}-6x+3x-6=3x^{2}-3x$
Evaluate the operations on both sides:
$3x^{2}-3x-6=3x^{2}-3x$
Take all terms to the left side:
$3x^{2}-3x-6-3x^{2}+3x=0$
Simplify the left side:
$-6\ne0$
This equation has no solution
