Solve 0.3x>(x-12200)*0.37

$$0.3x > (x-12200) \times 0.37$$

Solve for x

$$x<\frac{451400}{7}$$

Solution Steps

Use the distributive property to multiply x-12200 by 0.37.

$$0.3x>0.37x-4514$$

Subtract 0.37x from both sides.

$$0.3x-0.37x>-4514$$

Combine 0.3x and -0.37x to get -0.07x.

$$-0.07x>-4514$$

Divide both sides by -0.07. Since -0.07 is negative, the inequality direction is changed.

$$x<\frac{-4514}{-0.07}$$

Expand \frac{-4514}{-0.07} by multiplying both numerator and the denominator by 100.

$$x<\frac{-451400}{-7}$$

Fraction \frac{-451400}{-7} can be simplified to \frac{451400}{7} by removing the negative sign from both the numerator and the denominator.

$$x<\frac{451400}{7}$$