Solve 56x-27(600-56x)geq670

$$56 x - 27 ( 600 - 56 x ) \geq 670$$

Solve for x

$$x\geq \frac{1205}{112}$$

Solution Steps

Use the distributive property to multiply -27 by 600-56x.

$$56x-16200+1512x\geq 670$$

Combine 56x and 1512x to get 1568x.

$$1568x-16200\geq 670$$

Add 16200 to both sides.

$$1568x\geq 670+16200$$

Add 670 and 16200 to get 16870.

$$1568x\geq 16870$$

Divide both sides by 1568. Since 1568 is positive, the inequality direction remains the same.

$$x\geq \frac{16870}{1568}$$

Reduce the fraction \frac{16870}{1568} to lowest terms by extracting and canceling out 14.

$$x\geq \frac{1205}{112}$$