Solve for n 8n+12=7n+n-14

$8 n + 12 = 7 n + n - 14$

Step 1

Since $n$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$7 n + n - 14 = 8 n + 12$

Step 2

Add $7 n$ and $n$ .

$8 n - 14 = 8 n + 12$

Step 3

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

Subtract $8 n$ from both sides of the equation.

$8 n - 14 - 8 n = 12$

Combine the opposite terms in $8 n - 14 - 8 n$ .

Subtract $8 n$ from $8 n$ .

$0 - 14 = 12$

Subtract $14$ from $0$ .

$- 14 = 12$

Step 4

Since $- 14 \neq 12$ , there are no solutions.

No solution