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\frac{3}{2}x+4-6=x
Divide each term of x\times 3+8 by 2 to get \frac{3}{2}x+4.
\frac{3}{2}x-2=x
Subtract 6 from 4 to get -2.
\frac{3}{2}x-2-x=0
Subtract x from both sides.
\frac{1}{2}x-2=0
Combine \frac{3}{2}x and -x to get \frac{1}{2}x.
\frac{1}{2}x=2
Add 2 to both sides. Anything plus zero gives itself.
x=2\times 2
Multiply both sides by 2, the reciprocal of \frac{1}{2}.
x=4
Multiply 2 and 2 to get 4.