solve.

4x+2/3
-
3/4
= 1/2

2 answers

4x + 2/3 - 3/4 = 1/2
multiply each term by 12 (I really don't like fractions)
48x + 8 - 9 = 6
48x = 7
x = 7/48

check:
left side = 28/48 + 2/3 - 3/4
= 7/12 + 8/12 - 9/12
= 6/12
= 1/2
= Right Side, Yeah!
4x +2/3-3/4 =1/2
or, when you combine 2/3 and -3/4,

4x-1/12=1/2

It's saying that you get 1/2 if you multiply a certain number by 4, then subtract 1/12 from it. You want to find the number itself, so peel away all of the operations you performed on it:

ADD BACK THE 1/12:

4x=7/12

DIVIDE OUT THE 4 (you just want x by itself, not 4 times x)

x = 7/48

You can verify that this is in fact that number that gives a value of 1/2 when you multiply it by 4 and subtract 1/12.
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