Question 126888
{{{1/(x-1) + 3 = 4/(x-1)}}}
multiply both sides by {{{x-1}}}
{{{1 + 3(x - 1) = 4}}}
subtract {{{1}}} from both sides
{{{3(x - 1) = 3}}}
{{{3x - 3 = 3}}}
add {{{3}}} to both sides
{{{3x = 6}}}
{{{x = 2}}} answer
check answer
{{{1/(x-1) + 3 = 4/(x-1)}}}
{{{1/(2-1) + 3 = 4/(2-1)}}}
{{{1/1 + 3 = 4/1}}}
{{{1 + 3 = 4}}}
{{{4 = 4}}}
OK