Algebra Examples

$2 (n + 5) = - 2$

Step 1

Divide each term in $2 (n + 5) = - 2$ by $2$ and simplify.

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Step 1.1

Divide each term in $2 (n + 5) = - 2$ by $2$ .

$\frac{2 (n + 5)}{2} = \frac{- 2}{2}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $2$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{2 (n + 5)}{2} = \frac{- 2}{2}$

Step 1.2.1.2

Divide $n + 5$ by $1$ .

$n + 5 = \frac{- 2}{2}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide $- 2$ by $2$ .

$n + 5 = - 1$

Step 2

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

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Step 2.1

Subtract $5$ from both sides of the equation.

$n = - 1 - 5$

Step 2.2

Subtract $5$ from $- 1$ .

$n = - 6$