5+2n-3=6n+6-2n

Solution for 5+2n-3=6n+6-2n equation:

Simplifying
5 + 2n + -3 = 6n + 6 + -2n

Reorder the terms:
5 + -3 + 2n = 6n + 6 + -2n

Combine like terms: 5 + -3 = 2
2 + 2n = 6n + 6 + -2n

Reorder the terms:
2 + 2n = 6 + 6n + -2n

Combine like terms: 6n + -2n = 4n
2 + 2n = 6 + 4n

Solving
2 + 2n = 6 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
2 + 2n + -4n = 6 + 4n + -4n

Combine like terms: 2n + -4n = -2n
2 + -2n = 6 + 4n + -4n

Combine like terms: 4n + -4n = 0
2 + -2n = 6 + 0
2 + -2n = 6

Add '-2' to each side of the equation.
2 + -2 + -2n = 6 + -2

Combine like terms: 2 + -2 = 0
0 + -2n = 6 + -2
-2n = 6 + -2

Combine like terms: 6 + -2 = 4
-2n = 4

Divide each side by '-2'.
n = -2

Simplifying
n = -2