Solve 5(x+4)<2(4x-5

$$5 ( x + 4 ) < 2 ( 4 x - 5$$

Solve for x

$$x>10$$

Solution Steps

Use the distributive property to multiply 5 by x+4.

$$5x+20<2\left(4x-5\right)$$

Use the distributive property to multiply 2 by 4x-5.

$$5x+20<8x-10$$

Subtract 8x from both sides.

$$5x+20-8x<-10$$

Combine 5x and -8x to get -3x.

$$-3x+20<-10$$

Subtract 20 from both sides.

$$-3x<-10-20$$

Subtract 20 from -10 to get -30.

$$-3x<-30$$

Divide both sides by -3. Since -3 is negative, the inequality direction is changed.

$$x>\frac{-30}{-3}$$

Divide -30 by -3 to get 10.

$$x>10$$