Question 133360
Solve for x:
{{{x/(x-1) = 8/(x+2)}}} Cross-multiply by the denominators.
{{{x(x+2) = 8(x-1)}}} Simplify.
{{{x^2+2x = 8x-8}}} Combine like-terms.
{{{x^2-6x+8 = 0}}} Factor.
{{{(x-2)(x-4) = 0}}} so...
{{{x-2 = 0}}} or {{{x-4 = 0}}}, then...
{{{x = 2}}} or {{{x = 4}}}