12n+3=13n-6

Solution for 12n+3=13n-6 equation:

Simplifying
12n + 3 = 13n + -6

Reorder the terms:
3 + 12n = 13n + -6

Reorder the terms:
3 + 12n = -6 + 13n

Solving
3 + 12n = -6 + 13n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-13n' to each side of the equation.
3 + 12n + -13n = -6 + 13n + -13n

Combine like terms: 12n + -13n = -1n
3 + -1n = -6 + 13n + -13n

Combine like terms: 13n + -13n = 0
3 + -1n = -6 + 0
3 + -1n = -6

Add '-3' to each side of the equation.
3 + -3 + -1n = -6 + -3

Combine like terms: 3 + -3 = 0
0 + -1n = -6 + -3
-1n = -6 + -3

Combine like terms: -6 + -3 = -9
-1n = -9

Divide each side by '-1'.
n = 9

Simplifying
n = 9