SOLUTION: x+7 37 x-2 ___ = __

SOLUTION: x+7 37 x-2 _ = - ____ 3 15 5

Question 131044:
x+7 37 x-2
___ = __ - ____
3 15 5

Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
(x+7)/3=37/15-(x-2)/5
First you need to find a common denominator so you can combine these fractions.
15 has both 3 & 5 as factors so we'll use 15.
[5(x+7)/15]=[(37-3(x-2)/15]
(5x+35)/15=(37-3x+6)/15
Now we can cancel out the denominators & set the numerators equal:
5x+35=37-3x+6
5x+3x=37+6-35
8x=8
x=8/8
x=1 answer.
proof:
(1+7)/3=37/15-(1-2)/5
8/3=37/15-(-1/5)
8/3=37/15+1/5
8*5/15=37/15+3/15
40/15=(37+30/15
40/15=40/15

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SOLUTION: x+7 37 x-2 ___ = __ - ____ 3 15 5

SOLUTION: x+7 37 x-2 _ = - ____ 3 15 5