How do you solve #\frac{x}{2}-\frac{x}{3}=\frac{5}{2}#?

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Answer 1 · 2018-05-03T00:58:10

#x = 15#

You'll want to start by having like terms on each side. Let's do so by subtracting #x/2# from both sides, and simplifying.

#-x/3 = 5/2 - x/2#

#-x/3 = (5-x)/2#

Now we should cross multiply, giving us:

#-2x = 15 - 3x#

Add 3x to each side.

#x = 15#

Check:

#15/2 - 15/3 = 5/2#

#7.5 - 5 = 2.5#

#2.5 = 2.5#