Question 185633
{{{5/(x+2)}}} = {{{4/(x-5)}}}
cross multiply
5(x-5) = 4(x+2)
:
5x - 25 = 4x + 8
:
5x - 4x = 8 + 25
:
x = 33
;
:
Check solution in original equation:
{{{5/(33+2)}}} = {{{4/(33-5)}}}
{{{5/(35)}}} = {{{4/(28)}}}
{{{1/7}}} = {{{1/7}}}