Solve 2(x+5)-(3+7x)<-13

$$2 ( x + 5 ) - ( 3 + 7 x ) < - 13$$

Solve for x

$$x>4$$

Solution Steps

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

$$2x+10-\left(3+7x\right)<-13$$

To find the opposite of 3+7x, find the opposite of each term.

$$2x+10-3-7x<-13$$

Subtract 3 from 10 to get 7.

$$2x+7-7x<-13$$

Combine 2x and -7x to get -5x.

$$-5x+7<-13$$

Subtract 7 from both sides.

$$-5x<-13-7$$

Subtract 7 from -13 to get -20.

$$-5x<-20$$

Divide both sides by -5. Since -5 is negative, the inequality direction is changed.

$$x>\frac{-20}{-5}$$

Divide -20 by -5 to get 4.

$$x>4$$