Solve 4(x+8)-7(x-1)<12

$$4 ( x + 8 ) - 7 ( x - 1 ) < 12$$

Solve for x

$$x>9$$

Solution Steps

Use the distributive property to multiply 4 by x+8.

$$4x+32-7\left(x-1\right)<12$$

Use the distributive property to multiply -7 by x-1.

$$4x+32-7x+7<12$$

Combine 4x and -7x to get -3x.

$$-3x+32+7<12$$

Add 32 and 7 to get 39.

$$-3x+39<12$$

Subtract 39 from both sides.

$$-3x<12-39$$

Subtract 39 from 12 to get -27.

$$-3x<-27$$

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

$$x>\frac{-27}{-3}$$

Divide -27 by -3 to get 9.

$$x>9$$