Solve -23(-7-x)-3xgeq-2x-15

$$- 23 ( - 7 - x ) - 3 x \geq - 2 x - 15$$

Solve for x

$$x\geq -8$$

Solution Steps

Use the distributive property to multiply -23 by -7-x.

$$161+23x-3x\geq -2x-15$$

Combine 23x and -3x to get 20x.

$$161+20x\geq -2x-15$$

Add 2x to both sides.

$$161+20x+2x\geq -15$$

Combine 20x and 2x to get 22x.

$$161+22x\geq -15$$

Subtract 161 from both sides.

$$22x\geq -15-161$$

Subtract 161 from -15 to get -176.

$$22x\geq -176$$

Divide both sides by 22. Since 22 is positive, the inequality direction remains the same.

$$x\geq \frac{-176}{22}$$

Divide -176 by 22 to get -8.

$$x\geq -8$$