Solve (2x+4)*(2-4)<25-x

$$( 2 x + 4 ) \cdot ( 2 - 4 ) < 25 - x$$

Solve for x

$$x>-11$$

Solution Steps

Subtract 4 from 2 to get -2.

$$\left(2x+4\right)\left(-2\right)<25-x$$

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

$$-4x-8<25-x$$

Add x to both sides.

$$-4x-8+x<25$$

Combine -4x and x to get -3x.

$$-3x-8<25$$

Add 8 to both sides.

$$-3x<25+8$$

Add 25 and 8 to get 33.

$$-3x<33$$

Divide both sides by -3. Since -3 is negative, the inequality direction is changed.

$$x>\frac{33}{-3}$$

Divide 33 by -3 to get -11.

$$x>-11$$