Algebra Examples

$6 = 1 - 2 n + 5$

Step 1

Rewrite the equation as $1 - 2 n + 5 = 6$ .

$1 - 2 n + 5 = 6$

Step 2

Add $1$ and $5$ .

$- 2 n + 6 = 6$

Step 3

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

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Step 3.1

Subtract $6$ from both sides of the equation.

$- 2 n = 6 - 6$

Step 3.2

Subtract $6$ from $6$ .

$- 2 n = 0$

Step 4

Divide each term in $- 2 n = 0$ by $- 2$ and simplify.

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Step 4.1

Divide each term in $- 2 n = 0$ by $- 2$ .

$\frac{- 2 n}{- 2} = \frac{0}{- 2}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $- 2$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{- 2 n}{- 2} = \frac{0}{- 2}$

Step 4.2.1.2

Divide $n$ by $1$ .

$n = \frac{0}{- 2}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $0$ by $- 2$ .

$n = 0$