Solve 30x+18(2x+4)geq699

$$30 x + 18 ( 2 x + 4 ) \geq 699$$

Solve for x

$$x\geq \frac{19}{2}$$

Solution Steps

Use the distributive property to multiply 18 by 2x+4.

$$30x+36x+72\geq 699$$

Combine 30x and 36x to get 66x.

$$66x+72\geq 699$$

Subtract 72 from both sides.

$$66x\geq 699-72$$

Subtract 72 from 699 to get 627.

$$66x\geq 627$$

Divide both sides by 66. Since 66 is positive, the inequality direction remains the same.

$$x\geq \frac{627}{66}$$

Reduce the fraction \frac{627}{66} to lowest terms by extracting and canceling out 33.

$$x\geq \frac{19}{2}$$