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

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

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

Simplify each term.

Apply the distributive property.

$2 x + 2 \cdot - 4 + 2 x = - 6 x - 2$

Multiply $2$ by $- 4$ .

$2 x - 8 + 2 x = - 6 x - 2$

Add $2 x$ and $2 x$ .

$4 x - 8 = - 6 x - 2$

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

Add $6 x$ to both sides of the equation.

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

Add $4 x$ and $6 x$ .

$10 x - 8 = - 2$

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

Add $8$ to both sides of the equation.

$10 x = - 2 + 8$

Add $- 2$ and $8$ .

$10 x = 6$

Divide each term in $10 x = 6$ by $10$ and simplify.

Divide each term in $10 x = 6$ by $10$ .

$\frac{10 x}{10} = \frac{6}{10}$

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{10 x}{10} = \frac{6}{10}$

Divide $x$ by $1$ .

$x = \frac{6}{10}$

Simplify the right side.

Cancel the common factor of $6$ and $10$ .

Factor $2$ out of $6$ .

$x = \frac{2 (3)}{10}$

Cancel the common factors.

Factor $2$ out of $10$ .

$x = \frac{2 \cdot 3}{2 \cdot 5}$

Cancel the common factor.

$x = \frac{2 \cdot 3}{2 \cdot 5}$

Rewrite the expression.

$x = \frac{3}{5}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{3}{5}$

Decimal Form:

$x = 0.6$