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

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

Solve for x

$$x<-\frac{17}{5}$$

Solution Steps

Use the distributive property to multiply 2 by 4x+1.

$$8x+2<3\left(x-5\right)$$

Use the distributive property to multiply 3 by x-5.

$$8x+2<3x-15$$

Subtract 3x from both sides.

$$8x+2-3x<-15$$

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

$$5x+2<-15$$

Subtract 2 from both sides.

$$5x<-15-2$$

Subtract 2 from -15 to get -17.

$$5x<-17$$

Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.

$$x<-\frac{17}{5}$$