Algebra Examples

$- n + 5 = n - 11$

Step 1

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

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Step 1.1

Subtract $n$ from both sides of the equation.

$- n + 5 - n = - 11$

Step 1.2

Subtract $n$ from $- n$ .

$- 2 n + 5 = - 11$

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.

$- 2 n = - 11 - 5$

Step 2.2

Subtract $5$ from $- 11$ .

$- 2 n = - 16$

Step 3

Divide each term in $- 2 n = - 16$ by $- 2$ and simplify.

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Step 3.1

Divide each term in $- 2 n = - 16$ by $- 2$ .

$\frac{- 2 n}{- 2} = \frac{- 16}{- 2}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 2$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{- 2 n}{- 2} = \frac{- 16}{- 2}$

Step 3.2.1.2

Divide $n$ by $1$ .

$n = \frac{- 16}{- 2}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $- 16$ by $- 2$ .

$n = 8$