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2+2x\times \frac{1}{2}=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 x,2,2x.
2+x=3
Multiply 2 and \frac{1}{2} to get 1.
x=3-2
Subtract 2 from both sides.
x=1
Subtract 2 from 3 to get 1.