Solve (-28x+112(80-x)leq95

$$( - 28 x + 112 ( 80 - x ) \leq 95$$

Solve for x

$$x\geq \frac{1773}{28}$$

Solution Steps

Use the distributive property to multiply 112 by 80-x.

$$-28x+8960-112x\leq 95$$

Combine -28x and -112x to get -140x.

$$-140x+8960\leq 95$$

Subtract 8960 from both sides.

$$-140x\leq 95-8960$$

Subtract 8960 from 95 to get -8865.

$$-140x\leq -8865$$

Divide both sides by -140. Since -140 is negative, the inequality direction is changed.

$$x\geq \frac{-8865}{-140}$$

Reduce the fraction \frac{-8865}{-140} to lowest terms by extracting and canceling out -5.

$$x\geq \frac{1773}{28}$$