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

$- 12 = 2 + 5 v + 2 v$

Step 1

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

$2 + 5 v + 2 v = - 12$

Step 2

Add $5 v$ and $2 v$ .

$2 + 7 v = - 12$

Step 3

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

Subtract $2$ from both sides of the equation.

$7 v = - 12 - 2$

Subtract $2$ from $- 12$ .

$7 v = - 14$

Step 4

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

Divide each term in $7 v = - 14$ by $7$ .

$\frac{7 v}{7} = \frac{- 14}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 v}{7} = \frac{- 14}{7}$

Divide $v$ by $1$ .

$v = \frac{- 14}{7}$

Simplify the right side.

Divide $- 14$ by $7$ .

$v = - 2$