Question 153371
Solve for x:
{{{x/((x-3)) = ((x+1))/((x-4))}}} Multiply both sides by both (x-3) and (x-4)
{{{x(x-4) = (x+1)(x-3)}}} Now expand both sides of the equation.
{{{x^2-4x = x^2-2x-3}}} Now subtract {{{x^2}}} from both sides.
{{{-4x = -2x-3}}} Add 4x to both sides.
{{{0 = 2x-3}}} Add 3 to both sdes.
{{{3 = 2x}}} Finally, divide both sides by 2.
{{{x = 3/2}}}