Solve for n 5n+2(n-2)=10

$5 n + 2 (n - 2) = 10$

Simplify $5 n + 2 (n - 2)$ .

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Simplify each term.

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Apply the distributive property.

$5 n + 2 n + 2 \cdot - 2 = 10$

Multiply $2$ by $- 2$ .

$5 n + 2 n - 4 = 10$

Add $5 n$ and $2 n$ .

$7 n - 4 = 10$

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

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Add $4$ to both sides of the equation.

$7 n = 10 + 4$

Add $10$ and $4$ .

$7 n = 14$

Divide each term by $7$ and simplify.

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Divide each term in $7 n = 14$ by $7$ .

$\frac{7 n}{7} = \frac{14}{7}$

Cancel the common factor of $7$ .

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Cancel the common factor.

$\frac{7 n}{7} = \frac{14}{7}$

Divide $n$ by $1$ .

$n = \frac{14}{7}$

Divide $14$ by $7$ .

$n = 2$

Solve for n 5n+2(n-2)=10