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):
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?
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x/2 - x/3 = -5
(3x-2x)/6 = -5
x = -30
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Cheers,
Stan H.
Answer by Electrified_Levi(103) (Show Source):
You can put this solution on YOUR website! Hi, Hope I can help,
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how do i find the value of x in the equation  ?
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First of all, we have to get rid of the fractions
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We have to find a common denominator with the fractions
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The first fraction,  , has "2" as its denominator
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The second fraction,  , has "3" as its denominator
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To find the common denominator, we would just multiply the two denominators together ( since there is no lower denominator we could use )
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 = 
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"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
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= 
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We can now use the distributive property,
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 =  = 
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=  , now we will simplify even further by dividing
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=  =  =  = 
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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
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=  = 
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You can check by replacing "x" with (-30) in the very original equation
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replace "x" with (-30), =  =  =  =  ( True )
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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
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We don't have anything to worry about, since there are no "x"'s in the denominator
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Hope I helped, Levi
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