Solve for x -2(6-x)+8=4-4(x+2)

$- 2 (6 - x) + 8 = 4 - 4 (x + 2)$

Step 1

Simplify $- 2 (6 - x) + 8$ .

Simplify each term.

Apply the distributive property.

$- 2 \cdot 6 - 2 (- x) + 8 = 4 - 4 (x + 2)$

Multiply $- 2$ by $6$ .

$- 12 - 2 (- x) + 8 = 4 - 4 (x + 2)$

Multiply $- 1$ by $- 2$ .

$- 12 + 2 x + 8 = 4 - 4 (x + 2)$

Add $- 12$ and $8$ .

$2 x - 4 = 4 - 4 (x + 2)$

Step 2

Simplify $4 - 4 (x + 2)$ .

Simplify each term.

Apply the distributive property.

$2 x - 4 = 4 - 4 x - 4 \cdot 2$

Multiply $- 4$ by $2$ .

$2 x - 4 = 4 - 4 x - 8$

Subtract $8$ from $4$ .

$2 x - 4 = - 4 x - 4$

Step 3

Move all terms containing $x$ to the left side of the equation.

Add $4 x$ to both sides of the equation.

$2 x - 4 + 4 x = - 4$

Add $2 x$ and $4 x$ .

$6 x - 4 = - 4$

Step 4

Move all terms not containing $x$ to the right side of the equation.

Add $4$ to both sides of the equation.

$6 x = - 4 + 4$

Add $- 4$ and $4$ .

$6 x = 0$

Step 5

Divide each term in $6 x = 0$ by $6$ and simplify.

Divide each term in $6 x = 0$ by $6$ .

$\frac{6 x}{6} = \frac{0}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x}{6} = \frac{0}{6}$

Divide $x$ by $1$ .

$x = \frac{0}{6}$

Simplify the right side.

Divide $0$ by $6$ .

$x = 0$

Solve for x -2(6-x)+8=4-4(x+2)

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