Question 987353
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You have an equation


{{{x/4}}} = {{{2+(x-3)/3}}}.


The common denominator of the ratios in the left and the right sides of the equation is  12. 

Multiply both sides of the equation by the common denominator  12.  You will get


3x = 24 + 4*(x-3). 


Now,  open parentheses in the right side:


3x = 24 + 4x - 12. 


Collect common terms:


3x - 4x = 24 - 12,      or


-x = 12.


Multiply both sides by  -1.  You will get 


x = -12.


Congratulations!  You just solved the equation. 


Now check your solution.  Substitute the found value of  x = -12  into the left side of the original equation.  You will get 


{{{-12/4}}} = -3. 


Next,  substitute  x = -12  into the right side of the original equation.  You will get 


{{{2+(x-3)/3}}} = {{{2 +(-12-3)/3}}} = {{{2 + (-15)/3}}} = {{{2 + (-5)}}} = {{{2-5}}} = {{{-3}}}.


Hence,  your solution is correct. 


Good job!