Solve for x
x=-6
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2x+7-\frac{1}{2}x=-2
Subtract \frac{1}{2}x from both sides.
\frac{3}{2}x+7=-2
Combine 2x and -\frac{1}{2}x to get \frac{3}{2}x.
\frac{3}{2}x=-2-7
Subtract 7 from both sides.
\frac{3}{2}x=-9
Subtract 7 from -2 to get -9.
x=-9\times \frac{2}{3}
Multiply both sides by \frac{2}{3}, the reciprocal of \frac{3}{2}.
x=\frac{-9\times 2}{3}
Express -9\times \frac{2}{3} as a single fraction.
x=\frac{-18}{3}
Multiply -9 and 2 to get -18.
x=-6
Divide -18 by 3 to get -6.
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Limits
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