Solve 7x+4(2x-5)>4(4x+3)-9

$$7 x + 4 ( 2 x - 5 ) > 4 ( 4 x + 3 ) - 9$$

Solve for x

$$x<-23$$

Solution Steps

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

$$7x+8x-20>4\left(4x+3\right)-9$$

Combine 7x and 8x to get 15x.

$$15x-20>4\left(4x+3\right)-9$$

Use the distributive property to multiply 4 by 4x+3.

$$15x-20>16x+12-9$$

Subtract 9 from 12 to get 3.

$$15x-20>16x+3$$

Subtract 16x from both sides.

$$15x-20-16x>3$$

Combine 15x and -16x to get -x.

$$-x-20>3$$

Add 20 to both sides.

$$-x>3+20$$

Add 3 and 20 to get 23.

$$-x>23$$

Divide both sides by -1. Since -1 is negative, the inequality direction is changed.

$$x<-23$$