Solve for n 5(n-6)=4(n-7)

$5 (n - 6) = 4 (n - 7)$

Simplify $5 (n - 6)$ .

Start simplifying.

$0 + 0 + 5 (n - 6) = 4 (n - 7)$

Simplify by adding zeros.

$5 (n - 6) = 4 (n - 7)$

Apply the distributive property.

$5 n + 5 \cdot - 6 = 4 (n - 7)$

Multiply $5$ by $- 6$ .

$5 n - 30 = 4 (n - 7)$

Simplify $4 (n - 7)$ .

Apply the distributive property.

$5 n - 30 = 4 n + 4 \cdot - 7$

Multiply $4$ by $- 7$ .

$5 n - 30 = 4 n - 28$

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

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

$5 n - 30 - 4 n = - 28$

Subtract $4 n$ from $5 n$ .

$n - 30 = - 28$

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

Add $30$ to both sides of the equation.

$n = - 28 + 30$

Add $- 28$ and $30$ .

$n = 2$