Solve -3/7x+6>18

$$\frac { - 3 } { 7 } x + 6 > 18$$

Solve for x

$$x<-28$$

Solution Steps

Fraction \frac{-3}{7} can be rewritten as -\frac{3}{7} by extracting the negative sign.

$$-\frac{3}{7}x+6>18$$

Subtract 6 from both sides.

$$-\frac{3}{7}x>18-6$$

Subtract 6 from 18 to get 12.

$$-\frac{3}{7}x>12$$

Multiply both sides by -\frac{7}{3}, the reciprocal of -\frac{3}{7}. Since -\frac{3}{7} is negative, the inequality direction is changed.

$$x<12\left(-\frac{7}{3}\right)$$

Express 12\left(-\frac{7}{3}\right) as a single fraction.

$$x<\frac{12\left(-7\right)}{3}$$

Multiply 12 and -7 to get -84.

$$x<\frac{-84}{3}$$

Divide -84 by 3 to get -28.

$$x<-28$$