(m+6)+(4-m)=2m

Solution for (m+6)+(4-m)=2m equation:

Simplifying
(m + 6) + (4 + -1m) = 2m

Reorder the terms:
(6 + m) + (4 + -1m) = 2m

Remove parenthesis around (6 + m)
6 + m + (4 + -1m) = 2m

Remove parenthesis around (4 + -1m)
6 + m + 4 + -1m = 2m

Reorder the terms:
6 + 4 + m + -1m = 2m

Combine like terms: 6 + 4 = 10
10 + m + -1m = 2m

Combine like terms: m + -1m = 0
10 + 0 = 2m
10 = 2m

Solving
10 = 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
10 + -2m = 2m + -2m

Combine like terms: 2m + -2m = 0
10 + -2m = 0

Add '-10' to each side of the equation.
10 + -10 + -2m = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -2m = 0 + -10
-2m = 0 + -10

Combine like terms: 0 + -10 = -10
-2m = -10

Divide each side by '-2'.
m = 5

Simplifying
m = 5