Solve -5left(x-2right)-2x<-5x+5+3x

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

Solve for x

$$x>1$$

Solution Steps

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

$$-5x+10-2x<-5x+5+3x$$

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

$$-7x+10<-5x+5+3x$$

Combine -5x and 3x to get -2x.

$$-7x+10<-2x+5$$

Add 2x to both sides.

$$-7x+10+2x<5$$

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

$$-5x+10<5$$

Subtract 10 from both sides.

$$-5x<5-10$$

Subtract 10 from 5 to get -5.

$$-5x<-5$$

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

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

Divide -5 by -5 to get 1.

$$x>1$$