Solve for x 2(x-7)+4x=-x

$2 (x - 7) + 4 x = - x$

Simplify $2 (x - 7) + 4 x$ .

Simplify each term.

Apply the distributive property.

$2 x + 2 \cdot - 7 + 4 x = - x$

Multiply $2$ by $- 7$ .

$2 x - 14 + 4 x = - x$

Add $2 x$ and $4 x$ .

$6 x - 14 = - x$

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

Add $x$ to both sides of the equation.

$6 x - 14 + x = 0$

Add $6 x$ and $x$ .

$7 x - 14 = 0$

Add $14$ to both sides of the equation.

$7 x = 14$

Divide each term in $7 x = 14$ by $7$ and simplify.

Divide each term in $7 x = 14$ by $7$ .

$\frac{7 x}{7} = \frac{14}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 x}{7} = \frac{14}{7}$

Divide $x$ by $1$ .

$x = \frac{14}{7}$

Simplify the right side.

Divide $14$ by $7$ .

$x = 2$