Solve 4(2-2x)<3x-8-2

$$4 ( 2 - 2 x ) < 3 x - 8 - 2$$

Solve for x

$$x>\frac{18}{11}$$

Solution Steps

Use the distributive property to multiply 4 by 2-2x.

$$8-8x<3x-8-2$$

Subtract 2 from -8 to get -10.

$$8-8x<3x-10$$

Subtract 3x from both sides.

$$8-8x-3x<-10$$

Combine -8x and -3x to get -11x.

$$8-11x<-10$$

Subtract 8 from both sides.

$$-11x<-10-8$$

Subtract 8 from -10 to get -18.

$$-11x<-18$$

Divide both sides by -11. Since -11 is negative, the inequality direction is changed.

$$x>\frac{-18}{-11}$$

Fraction \frac{-18}{-11} can be simplified to \frac{18}{11} by removing the negative sign from both the numerator and the denominator.

$$x>\frac{18}{11}$$