Question 558806
{{{1/(x+2)-4/(x+3)=1/(x^2+5x+6)}}}
Take LCD on R.H.S.
{{{((x+3)-4(x+2))/(x+2)(x+3)=1/(x^2+5x+6)}}}
{{{(x+3-4x-8)/(x^2+3x+2x+6)=1/(x^2+5x+6)}}}
{{{(-3x-5)/(x^2+5x+6)=1/(x^2+5x+6)}}}
{{{(-3x-5)/cross(x^2+5x+6)=1/cross(x^2+5x+6)}}}
{{{-3x-5=1}}}
{{{-3x=5}}}
{{{-3x/-3=5/-3}}}
{{{cross(-3)x/cross(-3)=5/-3}}}
{{{x=-5/3}}}
{{{x=-(1&2/3)}}}