Solve 29-2(3-5x)geq13

$$29-2(3-5x) \geq 13$$

Solve for x

$$x\geq -1$$

Solution Steps

Use the distributive property to multiply -2 by 3-5x.

$$29-6+10x\geq 13$$

Subtract 6 from 29 to get 23.

$$23+10x\geq 13$$

Subtract 23 from both sides.

$$10x\geq 13-23$$

Subtract 23 from 13 to get -10.

$$10x\geq -10$$

Divide both sides by 10. Since 10 is positive, the inequality direction remains the same.

$$x\geq \frac{-10}{10}$$

Divide -10 by 10 to get -1.

$$x\geq -1$$