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- 2 =

:
The first thing you want to do is get rid of the fractions, multiplying by 6 will do it:
6*

- 6(2) = 6*

:
Cancel out the denominators and you have:
3x - 12 = 2(x-2)
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Multiply what's inside the brackets:
3x - 12 = 2x - 4
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3x - 2x = -4 + 12; do some basic algebra
:
1x = 8
or
x = 8
:
:
Substitute 8 for x in the original equation and see if it is true

8 - 2 =

4 - 2 =

*6; confirms our solution
:
:
Did this unconfuse you, any questions?