Solve x-x/5geq30

$$x- \frac{ x }{ 5 } \geq 30$$

Solve for x

$$x\geq \frac{75}{2}$$

Solution Steps

Multiply both sides of the equation by 5. Since 5 is positive, the inequality direction remains the same.

$$5x-x\geq 150$$

Combine 5x and -x to get 4x.

$$4x\geq 150$$

Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.

$$x\geq \frac{150}{4}$$

Reduce the fraction \frac{150}{4} to lowest terms by extracting and canceling out 2.

$$x\geq \frac{75}{2}$$