Solve x-2xgeq14-9(-x-4)

$$x - 2 x \geq 14 - 9 ( - x - 4 )$$

Solve for x

$$x\leq -5$$

Solution Steps

Combine x and -2x to get -x.

$$-x\geq 14-9\left(-x-4\right)$$

Use the distributive property to multiply -9 by -x-4.

$$-x\geq 14-9\left(-x\right)+36$$

Multiply -9 and -1 to get 9.

$$-x\geq 14+9x+36$$

Add 14 and 36 to get 50.

$$-x\geq 50+9x$$

Subtract 9x from both sides.

$$-x-9x\geq 50$$

Combine -x and -9x to get -10x.

$$-10x\geq 50$$

Divide both sides by -10. Since -10 is negative, the inequality direction is changed.

$$x\leq \frac{50}{-10}$$

Divide 50 by -10 to get -5.

$$x\leq -5$$