Solve 4x+6>14x-42

$$4 x + 6 > 14 x - 42$$

Solve for x

$$x<\frac{24}{5}$$

Solution Steps

Subtract 14x from both sides.

$$4x+6-14x>-42$$

Combine 4x and -14x to get -10x.

$$-10x+6>-42$$

Subtract 6 from both sides.

$$-10x>-42-6$$

Subtract 6 from -42 to get -48.

$$-10x>-48$$

Divide both sides by -10. Since -10 is negative, the inequality direction is changed.

$$x<\frac{-48}{-10}$$

Reduce the fraction \frac{-48}{-10} to lowest terms by extracting and canceling out -2.

$$x<\frac{24}{5}$$