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2x\times \frac{1}{2}-2\times 8=-3
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2x, the least common multiple of 2,x,2x.
x-2\times 8=-3
Multiply 2 and \frac{1}{2} to get 1.
x-16=-3
Multiply -2 and 8 to get -16.
x=-3+16
Add 16 to both sides.
x=13
Add -3 and 16 to get 13.