Question 927626
let a number be {{{x}}}

given:  {{{5+x}}}

is = to

{{{6-(2/3)x}}}

set equation up: 

{{{5+x=6-(2/3)x}}}...solve for {{{x}}}

{{{5*3+x*3=6*3-(2/3)x*3}}}

{{{15+3x=18-(2/(cross(3)))x*cross(3)}}}

{{{15+3x=18-2x}}}

{{{2x+3x=18-15}}}

{{{5x=3}}}

{{{highlight(x=3/5)}}}


check:

{{{5+x=6-(2/3)x}}}


{{{5+3/5=6-(2/3)(3/5)}}}


{{{25/5+3/5=6-6/15}}}


{{{(25*3)/(5*3)+(3*3)/(5*3)=(6*15)/15-6/15}}}


{{{75/15+9/15=90/15-6/15}}}


{{{(75+9)/15=(90-6)/15}}}


{{{84/15=84/15}}}