Solve 2(3x+5)<4(x-1)

$$2 ( 3 x + 5 ) < 4 ( x - 1 )$$

Solve for x

$$x<-7$$

Solution Steps

Use the distributive property to multiply 2 by 3x+5.

$$6x+10<4\left(x-1\right)$$

Use the distributive property to multiply 4 by x-1.

$$6x+10<4x-4$$

Subtract 4x from both sides.

$$6x+10-4x<-4$$

Combine 6x and -4x to get 2x.

$$2x+10<-4$$

Subtract 10 from both sides.

$$2x<-4-10$$

Subtract 10 from -4 to get -14.

$$2x<-14$$

Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.

$$x<\frac{-14}{2}$$

Divide -14 by 2 to get -7.

$$x<-7$$