Solve 3(2x-1)<4(3x-8)-7

$$3 ( 2 x - 1 ) < 4 ( 3 x - 8 ) - 7$$

Solve for x

$$x>6$$

Solution Steps

Use the distributive property to multiply 3 by 2x-1.

$$6x-3<4\left(3x-8\right)-7$$

Use the distributive property to multiply 4 by 3x-8.

$$6x-3<12x-32-7$$

Subtract 7 from -32 to get -39.

$$6x-3<12x-39$$

Subtract 12x from both sides.

$$6x-3-12x<-39$$

Combine 6x and -12x to get -6x.

$$-6x-3<-39$$

Add 3 to both sides.

$$-6x<-39+3$$

Add -39 and 3 to get -36.

$$-6x<-36$$

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

$$x>\frac{-36}{-6}$$

Divide -36 by -6 to get 6.

$$x>6$$