Question 664037
{{{4/(x+3)-(1/x)=5 /( x (x+3))}}}


{{{(4*x-1(x+3))/x(x+3)=5 /( x (x+3))}}}...denominators are same, and when we cross multiply they will cancel each other; so we can solve for {{{x}}} using only nominators

{{{(4x-1(x+3))=5 )}}}

{{{4x-x-3=5}}}

{{{3x=5+3 }}}

{{{3x=8}}}

{{{x=8/3}}}

{{{x=2.6666666666666666666666666666667}}}

{{{x=2.66}}}


check:

{{{4/(x+3)-(1/x)=5 /( x (x+3))}}}


{{{4/(2.66+3)-(1/2.66)=5 /( 2.66 (2.66+3))}}}


{{{4/(5.66)-(1/2.66)=5 /( 2.66 (5.66))}}}

{{{0.7058-0.375=5 /(15.11)}}}


{{{0.7058-0.375=0.33}}}


{{{0.33=0.33}}}