Question 23695
Solve for x:
{{{1/(x-3) + 7 = x/(x-3)}}} Add the terms on the left side. Common denominator is (x-3)
{{{(1 + 7(x-3))/(x-3) = x/(x-3)}}} Multiply both sides by (x-3) and simplify.
{{{1+7x-21 = x}}} Subtract x from both sides.
{{{1+6x -21 = 0}}} Simplify the left side.
{{{6x-20 = 0}}} Add 20 to both sides.
{{{6x = 20}}} Divide both sides by 6.
{{{x = 20/6}}} Simplify.
{{{x = 10/3}}}