Solve x+25-30x>12x

$$x + 25 - 30 x > 12 x$$

Solve for x

$$x<\frac{25}{41}$$

Solution Steps

Combine x and -30x to get -29x.

$$-29x+25>12x$$

Subtract 12x from both sides.

$$-29x+25-12x>0$$

Combine -29x and -12x to get -41x.

$$-41x+25>0$$

Subtract 25 from both sides. Anything subtracted from zero gives its negation.

$$-41x>-25$$

Divide both sides by -41. Since -41 is negative, the inequality direction is changed.

$$x<\frac{-25}{-41}$$

Fraction \frac{-25}{-41} can be simplified to \frac{25}{41} by removing the negative sign from both the numerator and the denominator.

$$x<\frac{25}{41}$$