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-4x-10\geq 4x-8
Use the distributive property to multiply -2 by 2x+5.
-4x-10-4x\geq -8
Subtract 4x from both sides.
-8x-10\geq -8
Combine -4x and -4x to get -8x.
-8x\geq -8+10
Add 10 to both sides.
-8x\geq 2
Add -8 and 10 to get 2.
x\leq \frac{2}{-8}
Divide both sides by -8. Since -8 is negative, the inequality direction is changed.
x\leq -\frac{1}{4}
Reduce the fraction \frac{2}{-8} to lowest terms by extracting and canceling out 2.