SOLUTION: can you show me how to work this problem out step by step. 2/5x + 6 = 2/3x+10

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Question 344824: can you show me how to work this problem out step by step.
2/5x + 6 = 2/3x+10
Found 2 solutions by ewatrrr, stanbon:
Answer by ewatrrr(10682) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
%282%2F5%29x+%2B+6+=+%282%2F3%29x%2B10
to Clear out the "pesty" denominators, multiply each term on both sides of the equation by 15 (this is commonly known as the "common denominator" for 3 and 5.
.
for ex 15%2A%282%2F5%29x+=+%283%2A2%29x and 15%2A%282%2F3%29x+=+%285%2A2%29x
.
%283%2A2%29x+%2B+15%2A6+=+%285%2A2%29x%2B15%2A10
.
combine like terms and solve
6x + 90 = 10x + 150
-60 = 4x
.
x=highlight%28-15%29

Answer by stanbon(57219) About Me  (Show Source):
You can put this solution on YOUR website!
2/5x + 6 = 2/3x+10
--------------------------
(2/5)x-(2/3)x = 10-6
--------
[2/5 - 2/3]x = 4
---------
[(6-10)/15]x = 4
-----
(-4/15)x = 4
---
(-1/15)x = 1
x = -15
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Cheers,
Stan H.
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