Solve for n 2.2n+0.8n+5=4n

$2.2 n + 0.8 n + 5 = 4 n$

Add $2.2 n$ and $0.8 n$ .

$3 n + 5 = 4 n$

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

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Subtract $4 n$ from both sides of the equation.

$3 n + 5 - 4 n = 0$

Subtract $4 n$ from $3 n$ .

$- 1 n + 5 = 0$

Subtract $5$ from both sides of the equation.

$- 1 n = - 5$

Divide each term in $- 1 n = - 5$ by $- 1$ and simplify.

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Divide each term in $- 1 n = - 5$ by $- 1$ .

$\frac{- 1 n}{- 1} = \frac{- 5}{- 1}$

Simplify the left side.

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Cancel the common factor of $- 1$ .

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Rewrite $- 1$ as $- 1 (1)$ .

$\frac{- 1 (1) n}{- 1} = \frac{- 5}{- 1}$

Factor $1$ out of $- 1 (1) n$ .

$\frac{1 (- 1 \cdot 1 n)}{- 1} = \frac{- 5}{- 1}$

Move the negative one from the denominator of $\frac{- 1 \cdot 1 n}{- 1}$ .

$- 1 \cdot (- 1 \cdot 1 n) = \frac{- 5}{- 1}$

Simplify the expression.

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Rewrite $- 1 \cdot (- 1 \cdot 1 n)$ as $- (- 1 \cdot 1 n)$ .

$- (- 1 \cdot 1 n) = \frac{- 5}{- 1}$

Multiply $- 1$ by $1$ .

$- (- 1 n) = \frac{- 5}{- 1}$

Rewrite $- 1 n$ as $- n$ .

$- - n = \frac{- 5}{- 1}$

Multiply $- - n$ .

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Multiply $- 1$ by $- 1$ .

$1 n = \frac{- 5}{- 1}$

Multiply $n$ by $1$ .

$n = \frac{- 5}{- 1}$

Simplify the right side.

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Divide $- 5$ by $- 1$ .

$n = 5$