Algebra Examples

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

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.

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Step 3.1

Subtract $2$ from both sides of the equation.

$7 v = - 12 - 2$

Step 3.2

Subtract $2$ from $- 12$ .

$7 v = - 14$

Step 4

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

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Step 4.1

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

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

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $7$ .

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Step 4.2.1.1

Cancel the common factor.

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

Step 4.2.1.2

Divide $v$ by $1$ .

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

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $- 14$ by $7$ .

$v = - 2$