SOLUTION: how do i find the value of x in the equation x/2+20=15+x/3?

Question 174957: how do i find the value of x in the equation x/2+20=15+x/3?
Found 3 solutions by Mathtut, stanbon, Electrified_Levi:
Answer by Mathtut(3670)   (Show Source): You can put this solution on YOUR website!
.....multiply all terms by least common denominator which is 6
:
subtract 2x and 120 from both sides
:

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
find the value of x in the equation x/2+20=15+x/3?
-----------------
x/2 - x/3 = -5
(3x-2x)/6 = -5
x = -30
==================
Cheers,
Stan H.
Answer by Electrified_Levi(103)   (Show Source): You can put this solution on YOUR website!
Hi, Hope I can help,
.
how do i find the value of x in the equation ?
.
First of all, we have to get rid of the fractions
.
We have to find a common denominator with the fractions
.
The first fraction, , has "2" as its denominator
.
The second fraction, , has "3" as its denominator
.
To find the common denominator, we would just multiply the two denominators together ( since there is no lower denominator we could use )
.
=
.
"6" is the common denominator, now if we multiply the two sides of the equation, it will get rid of the fractions, since they both will cancel out
.
=
.
We can now use the distributive property,
.
= =
.
= , now we will simplify even further by dividing
.
= = = =
.
Now all we do is solve for "x", we will move "2x" to the left side
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= = , now we will move "120" to the right side
.
= =
.

.
You can check by replacing "x" with (-30) in the very original equation
.
replace "x" with (-30), = = = = ( True )
.
You have to be careful with fraction equations, because the denominator of a fraction cannot equal 0, so if one of the answers make a denominator 0, then that answer cannot work
.
We don't have anything to worry about, since there are no "x"'s in the denominator
.

.
Hope I helped, Levi
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