Solve for x
x = \frac{20}{3} = 6\frac{2}{3} \approx 6.666666667
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-\frac{1}{2}x+3-x=-7
Subtract x from both sides.
-\frac{3}{2}x+3=-7
Combine -\frac{1}{2}x and -x to get -\frac{3}{2}x.
-\frac{3}{2}x=-7-3
Subtract 3 from both sides.
-\frac{3}{2}x=-10
Subtract 3 from -7 to get -10.
x=-10\left(-\frac{2}{3}\right)
Multiply both sides by -\frac{2}{3}, the reciprocal of -\frac{3}{2}.
x=\frac{-10\left(-2\right)}{3}
Express -10\left(-\frac{2}{3}\right) as a single fraction.
x=\frac{20}{3}
Multiply -10 and -2 to get 20.
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