Question 247180
x/3=x+10/6


is this (x/3) = (x+10)/6 


or is this (x/3) = x + (10/6)


If I follow the rules of algebra, without parentheses, it would be the second form.


assuming it is the first form, then your equation is:


(x/3) = (x+10)/6


multiply both sides of this equation by 6 to get:


6 * (x/3) = 6 * (x+10) / 6 which becomes:


2 * x = x + 10


subtract x from both sides of this equation to get x = 10


substitute in original equation to get:


10/3 = 20/6 which is true so the answer of x = 10 is good.


assuming it is the second form, then your equation is:


(x/3) = x + (10/6)


multiply both sides of this equation by 6 to get:


6 * (x/3) = 6 * (x + 10/6) which becomes:


2 * x = 6 * x + 10


subtract 6 * x from both sides of this equation to get:


2 * x - (6 * x) = 10


combine like terms to get:


-4 * x = 10


divide both sides by (-4) to get:


x = -10/4


substitute in original equation to get:


((-10/4)/3)) = (-10/4) + (10/6)


multiply both sides of this equation by 6 to get:


6 * ((-10/4)/3)  = 6 * ((-10/4) + (10/6))


simplify to get:


(-20/4) = (-60/4) + (60/6)


simplify further to get:


-5 = -15 + 10


combine like terms to get:


-5 = -5 confirming that the answer of x = -10/4 is good.