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x-\frac{1}{2}x<3
Subtract \frac{1}{2}x from both sides.
\frac{1}{2}x<3
Combine x and -\frac{1}{2}x to get \frac{1}{2}x.
x<3\times 2
Multiply both sides by 2, the reciprocal of \frac{1}{2}. Since \frac{1}{2} is positive, the inequality direction remains the same.
x<6
Multiply 3 and 2 to get 6.