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

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

Solve for x

$$x\leq -25$$

Solution Steps

Combine 9x and -2x to get 7x.

$$7x\geq 14-9\left(-x-4\right)$$

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

$$7x\geq 14-9\left(-x\right)+36$$

Multiply -9 and -1 to get 9.

$$7x\geq 14+9x+36$$

Add 14 and 36 to get 50.

$$7x\geq 50+9x$$

Subtract 9x from both sides.

$$7x-9x\geq 50$$

Combine 7x and -9x to get -2x.

$$-2x\geq 50$$

Divide both sides by -2. Since -2 is negative, the inequality direction is changed.

$$x\leq \frac{50}{-2}$$

Divide 50 by -2 to get -25.

$$x\leq -25$$