Solve 12/100600+300x/100>15/100left(600+xright)

$$\frac{ 12 }{ 100 } 600+ \frac{ 300x }{ 100 } > \frac{ 15 }{ 100 } \left( 600+x \right)$$

Solve for x

$$x>\frac{120}{19}$$

Solution Steps

Multiply both sides of the equation by 100. Since 100 is positive, the inequality direction remains the same.

$$12\times 600+300x>15\left(600+x\right)$$

Multiply 12 and 600 to get 7200.

$$7200+300x>15\left(600+x\right)$$

Use the distributive property to multiply 15 by 600+x.

$$7200+300x>9000+15x$$

Subtract 15x from both sides.

$$7200+300x-15x>9000$$

Combine 300x and -15x to get 285x.

$$7200+285x>9000$$

Subtract 7200 from both sides.

$$285x>9000-7200$$

Subtract 7200 from 9000 to get 1800.

$$285x>1800$$

Divide both sides by 285. Since 285 is positive, the inequality direction remains the same.

$$x>\frac{1800}{285}$$

Reduce the fraction \frac{1800}{285} to lowest terms by extracting and canceling out 15.

$$x>\frac{120}{19}$$