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6x-28\geq 52-2x
Use the distributive property to multiply 2 by 3x-14.
6x-28+2x\geq 52
Add 2x to both sides.
8x-28\geq 52
Combine 6x and 2x to get 8x.
8x\geq 52+28
Add 28 to both sides.
8x\geq 80
Add 52 and 28 to get 80.
x\geq \frac{80}{8}
Divide both sides by 8. Since 8 is positive, the inequality direction remains the same.
x\geq 10
Divide 80 by 8 to get 10.