Solve 4x+4-6x+2>4x+10-1x

$$4 x + 4 - 6 x + 2 > 4 x + 10 - 1 x$$

Solve for x

$$x<-\frac{4}{5}$$

Solution Steps

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

$$-2x+4+2>4x+10-x$$

Add 4 and 2 to get 6.

$$-2x+6>4x+10-x$$

Combine 4x and -x to get 3x.

$$-2x+6>3x+10$$

Subtract 3x from both sides.

$$-2x+6-3x>10$$

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

$$-5x+6>10$$

Subtract 6 from both sides.

$$-5x>10-6$$

Subtract 6 from 10 to get 4.

$$-5x>4$$

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

$$x<-\frac{4}{5}$$