Question 133463
{{{1/(2x - 4) + 1/(x - 2) = 3/2}}}
{{{1/(2*(x - 2)) + 1/(x - 2) = 3/2}}}
multiply both sides by {{{2*(x - 2)}}}
{{{1 + 2 = 3*(x - 2)}}}
{{{3 = 3*(x - 2)}}}
Divide both sides by {{{3}}}
{{{x - 2 = 1}}}
{{{x = 3}}}
check:
{{{1/(2x - 4) + 1/(x - 2) = 3/2}}}
{{{1/(2*3 - 4) + 1/(3 - 2) = 3/2}}}
{{{1/2 + 1/1 = 3/2}}}
Multiply both sides by {{{2}}}
{{{1 + 2 = 3}}}
OK