Solve for x
x=4
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2x-7-\frac{1}{2}x=-1
Subtract \frac{1}{2}x from both sides.
\frac{3}{2}x-7=-1
Combine 2x and -\frac{1}{2}x to get \frac{3}{2}x.
\frac{3}{2}x=-1+7
Add 7 to both sides.
\frac{3}{2}x=6
Add -1 and 7 to get 6.
x=6\times \frac{2}{3}
Multiply both sides by \frac{2}{3}, the reciprocal of \frac{3}{2}.
x=\frac{6\times 2}{3}
Express 6\times \frac{2}{3} as a single fraction.
x=\frac{12}{3}
Multiply 6 and 2 to get 12.
x=4
Divide 12 by 3 to get 4.
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