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x-10-5x\geq 3
Subtract 5x from both sides.
-4x-10\geq 3
Combine x and -5x to get -4x.
-4x\geq 3+10
Add 10 to both sides.
-4x\geq 13
Add 3 and 10 to get 13.
x\leq -\frac{13}{4}
Divide both sides by -4. Since -4 is negative, the inequality direction is changed.