Question 499658
Solve for x:
{{{7/2x + 1/3 = 1/x+7/6}}} Add the fractions by finding the LCDs.
{{{3*7/(3*2x) + 1*2x/(3*2x) = 6*1/(6*x) + 7*x/(6*x)}}} Simplify.
{{{(21+2x)/6x = (6+7x)/6x}}} Multiply both sides by {{{6x}}}.
{{{21+2x = 6+7x}}} Subtact 2x from both sides.
{{{21 = 6+5x}}} Subtract 6 from both sides.
{{{15 = 5x}}} Divide both sides by 5.
{{{3 = x}}}
{{{highlight(x = 3)}}}