Solve -7-1>-6x+12

$$- 7 - 1 > - 6 x + 12$$

Solve for x

$$x>\frac{10}{3}$$

Solution Steps

Subtract 1 from -7 to get -8.

$$-8>-6x+12$$

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

$$-6x+12<-8$$

Subtract 12 from both sides.

$$-6x<-8-12$$

Subtract 12 from -8 to get -20.

$$-6x<-20$$

Divide both sides by -6. Since -6 is negative, the inequality direction is changed.

$$x>\frac{-20}{-6}$$

Reduce the fraction \frac{-20}{-6} to lowest terms by extracting and canceling out -2.

$$x>\frac{10}{3}$$