Solve -2xgeq3x-12(5-x)

$$- 2 x \geq 3 x - 12 ( 5 - x )$$

Solve for x

$$x\leq \frac{60}{17}$$

Solution Steps

Use the distributive property to multiply -12 by 5-x.

$$-2x\geq 3x-60+12x$$

Combine 3x and 12x to get 15x.

$$-2x\geq 15x-60$$

Subtract 15x from both sides.

$$-2x-15x\geq -60$$

Combine -2x and -15x to get -17x.

$$-17x\geq -60$$

Divide both sides by -17. Since -17 is negative, the inequality direction is changed.

$$x\leq \frac{-60}{-17}$$

Fraction \frac{-60}{-17} can be simplified to \frac{60}{17} by removing the negative sign from both the numerator and the denominator.

$$x\leq \frac{60}{17}$$