Solve for n 3+5n=5(n+2)-7

$3 + 5 n = 5 (n + 2) - 7$

Step 1

Simplify $5 (n + 2) - 7$ .

Simplify each term.

Apply the distributive property.

$3 + 5 n = 5 n + 5 \cdot 2 - 7$

Multiply $5$ by $2$ .

$3 + 5 n = 5 n + 10 - 7$

Subtract $7$ from $10$ .

$3 + 5 n = 5 n + 3$

Step 2

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

Subtract $5 n$ from both sides of the equation.

$3 + 5 n - 5 n = 3$

Combine the opposite terms in $3 + 5 n - 5 n$ .

Subtract $5 n$ from $5 n$ .

$3 + 0 = 3$

Add $3$ and $0$ .

$3 = 3$

Step 3

Since $3 = 3$ , the equation will always be true for any value of $n$ .

All real numbers

Step 4

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$