Solve for x -12=2+5x+2x

$- 12 = 2 + 5 x + 2 x$

Step 1

Rewrite the equation as $2 + 5 x + 2 x = - 12$ .

$2 + 5 x + 2 x = - 12$

Step 2

Add $5 x$ and $2 x$ .

$2 + 7 x = - 12$

Step 3

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

Subtract $2$ from both sides of the equation.

$7 x = - 12 - 2$

Subtract $2$ from $- 12$ .

$7 x = - 14$

Step 4

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 $7$ .

$x = - 2$