Solve for x
x=-2
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3x+6=\frac{1}{2}x+1
Use the distributive property to multiply x+2 by 3.
3x+6-\frac{1}{2}x=1
Subtract \frac{1}{2}x from both sides.
\frac{5}{2}x+6=1
Combine 3x and -\frac{1}{2}x to get \frac{5}{2}x.
\frac{5}{2}x=1-6
Subtract 6 from both sides.
\frac{5}{2}x=-5
Subtract 6 from 1 to get -5.
x=-5\times \frac{2}{5}
Multiply both sides by \frac{2}{5}, the reciprocal of \frac{5}{2}.
x=-2
Multiply -5 times \frac{2}{5}.
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