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10-4x\leq -3\left(x-2\right)
Use the distributive property to multiply 2 by 5-2x.
10-4x\leq -3x+6
Use the distributive property to multiply -3 by x-2.
10-4x+3x\leq 6
Add 3x to both sides.
10-x\leq 6
Combine -4x and 3x to get -x.
-x\leq 6-10
Subtract 10 from both sides.
-x\leq -4
Subtract 10 from 6 to get -4.
x\geq \frac{-4}{-1}
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.
x\geq 4
Fraction \frac{-4}{-1} can be simplified to 4 by removing the negative sign from both the numerator and the denominator.