Solve 2(x-3)+4>4-2(x+9)

$$2 ( x - 3 ) + 4 > 4 - 2 ( x + 9 )$$

Solve for x

$$x>-3$$

Solution Steps

Use the distributive property to multiply 2 by x-3.

$$2x-6+4>4-2\left(x+9\right)$$

Add -6 and 4 to get -2.

$$2x-2>4-2\left(x+9\right)$$

Use the distributive property to multiply -2 by x+9.

$$2x-2>4-2x-18$$

Subtract 18 from 4 to get -14.

$$2x-2>-14-2x$$

Add 2x to both sides.

$$2x-2+2x>-14$$

Combine 2x and 2x to get 4x.

$$4x-2>-14$$

Add 2 to both sides.

$$4x>-14+2$$

Add -14 and 2 to get -12.

$$4x>-12$$

Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.

$$x>\frac{-12}{4}$$

Divide -12 by 4 to get -3.

$$x>-3$$