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4x-12\geq 2
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
4x\geq 2+12
Add 12 to both sides.
4x\geq 14
Add 2 and 12 to get 14.
x\geq \frac{14}{4}
Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.
x\geq \frac{7}{2}
Reduce the fraction \frac{14}{4} to lowest terms by extracting and canceling out 2.