Question 56427
OH ... the dreaded "F" word in Math.  "Fractions"

This one is just two fractions set equal to one another.
{{{ 13/(x-1) =  4/(x + 2) }}}
Cross multiply
{{{ 13(x+2) = 4(x-1) }}}
Distribute
{{{ 13x + 26 = 4x - 4 }}}
subtract 4x from both sides
{{{ 9x + 26 = -4 }}}
subtract 26 from both sides
{{{ 9x = -30 }}}
divide by 9
{{{ x = -30/9 }}}
reduce
{{{ x = -10/3 }}}