(m+3)+5=m+(3+n)

Solution for (m+3)+5=m+(3+n) equation:

Simplifying
(m + 3) + 5 = m + (3 + n)

Reorder the terms:
(3 + m) + 5 = m + (3 + n)

Remove parenthesis around (3 + m)
3 + m + 5 = m + (3 + n)

Reorder the terms:
3 + 5 + m = m + (3 + n)

Combine like terms: 3 + 5 = 8
8 + m = m + (3 + n)

Remove parenthesis around (3 + n)
8 + m = m + 3 + n

Reorder the terms:
8 + m = 3 + m + n

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

Combine like terms: m + -1m = 0
8 + 0 = 3 + m + -1m + n
8 = 3 + m + -1m + n

Combine like terms: m + -1m = 0
8 = 3 + 0 + n
8 = 3 + n

Solving
8 = 3 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
8 + -1n = 3 + n + -1n

Combine like terms: n + -1n = 0
8 + -1n = 3 + 0
8 + -1n = 3

Add '-8' to each side of the equation.
8 + -8 + -1n = 3 + -8

Combine like terms: 8 + -8 = 0
0 + -1n = 3 + -8
-1n = 3 + -8

Combine like terms: 3 + -8 = -5
-1n = -5

Divide each side by '-1'.
n = 5

Simplifying
n = 5