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5x-9\geq 51
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
5x\geq 51+9
Add 9 to both sides.
5x\geq 60
Add 51 and 9 to get 60.
x\geq \frac{60}{5}
Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.
x\geq 12
Divide 60 by 5 to get 12.