Solve for x
x\leq 8
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2x+12-3x\geq 4
Use the distributive property to multiply 3 by 4-x.
-x+12\geq 4
Combine 2x and -3x to get -x.
-x\geq 4-12
Subtract 12 from both sides.
-x\geq -8
Subtract 12 from 4 to get -8.
x\leq \frac{-8}{-1}
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.
x\leq 8
Fraction \frac{-8}{-1} can be simplified to 8 by removing the negative sign from both the numerator and the denominator.
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