SOLUTION: how do u show your work on x/5-2=x/3 is x=-15?

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Question 783443: how do u show your work on x/5-2=x/3 is x=-15?

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
There is more than one way to get to the solution.
Here is the way I would chose.
Explanations in parentheses probably not required, depending on the teacher.
Some steps may be skipped, depending on the teacher.

WITH LOTS OF STEPS AND EXPLANATIONS:
x%2F5-2=x%2F3
15%2A%28x%2F5-2%29=15%2A%28x%2F3%29 (multiplying both sides of the equal sign times 15 to eliminate denominators)
15%2A%28x%2F5%29-15%2A2=15%2Ax%2F3%29 (applying distributive property on the left side, simplifying on the right)
15%2Ax%2F5-30=5x%29 (simplifying)
3x-30=5x%29 (simplifying)
3x-30-3x=5x-3x%29 (subtracting 3x from both sides of the equal sign)
-30=2x%29 (simplyfying/collecting like terms)
-30%2F2=2x%2F2%29 (dividing both sides of the equal sign by 2)
-15=x%29 (simplifying)

STREAMLINED VERSION:
x%2F5-2=x%2F3
15%2A%28x%2F5-2%29=15%2A%28x%2F3%29
3x-30=5x%29
-30=5x-3x%29
-30=2x%29
-30%2F2=x%29
-15=x%29