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x-10=-\frac{1}{2}\times 6
Multiply both sides by 6.
x-10=\frac{-6}{2}
Express -\frac{1}{2}\times 6 as a single fraction.
x-10=-3
Divide -6 by 2 to get -3.
x=-3+10
Add 10 to both sides.
x=7
Add -3 and 10 to get 7.