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2x-10\geq 5x-22
Use the distributive property to multiply 2 by x-5.
2x-10-5x\geq -22
Subtract 5x from both sides.
-3x-10\geq -22
Combine 2x and -5x to get -3x.
-3x\geq -22+10
Add 10 to both sides.
-3x\geq -12
Add -22 and 10 to get -12.
x\leq \frac{-12}{-3}
Divide both sides by -3. Since -3 is negative, the inequality direction is changed.
x\leq 4
Divide -12 by -3 to get 4.