Solve 1/2(4-2x)>12-2x

$$\frac { 1 } { 2 } ( 4 - 2 x ) > 12 - 2 x$$

Solve for x

$$x>10$$

Solution Steps

Use the distributive property to multiply \frac{1}{2} by 4-2x.

$$\frac{1}{2}\times 4+\frac{1}{2}\left(-2\right)x>12-2x$$

Multiply \frac{1}{2} and 4 to get \frac{4}{2}.

$$\frac{4}{2}+\frac{1}{2}\left(-2\right)x>12-2x$$

Divide 4 by 2 to get 2.

$$2+\frac{1}{2}\left(-2\right)x>12-2x$$

Multiply \frac{1}{2} and -2 to get \frac{-2}{2}.

$$2+\frac{-2}{2}x>12-2x$$

Divide -2 by 2 to get -1.

$$2-x>12-2x$$

Add 2x to both sides.

$$2-x+2x>12$$

Combine -x and 2x to get x.

$$2+x>12$$

Subtract 2 from both sides.

$$x>12-2$$

Subtract 2 from 12 to get 10.

$$x>10$$