SOLUTION: Solve for x: 2x over 3 minus 2x+3 over 5 = x-5 over 3

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Question 252590: Solve for x: 2x over 3 minus 2x+3 over 5 = x-5 over 3
Found 2 solutions by drk, checkley77:
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
We have the equation:
2x%2F3+-+%282x%2B3%29%2F5+=+%28x-5%29%2F3
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step 1 - multiply by a common denominator of 15.
10x+-+3%282x%2B3%29+=+5%28x-5%29
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distribute to get:
10X+-+6X+-+9+=+5x+-+25
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solve for x.
+4x+-+9+=+5x+-+25
x = 16.
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check:
32/3 - 35/5 = 11/3
55/15 = 11/3
11/3 = 11/3 [check]

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
2x/3-(2x+3)/5=(x-5)/3 find the lcd.
3*5=15 is the lcd.
[5*2x-3(2x+3)]/15=5(x-5)/15
(10x-6x-9)/15=(5x-25)/15 cancel out the denominators.
4x-9=5x-25
4x-5x=-25+9
-x=-16
x=16 ans.
Proof:
2*16/3-(2*16+3)/5=(16-5)/3
32/3-(32+3)/5=11/3
5*32-3*35)/15=5*11/15
160-105/15=55/15
55/15=55/15