105=-5+(8+2m)

Solution for 105=-5+(8+2m) equation:

Simplifying
105 = -5 + (8 + 2m)

Remove parenthesis around (8 + 2m)
105 = -5 + 8 + 2m

Combine like terms: -5 + 8 = 3
105 = 3 + 2m

Solving
105 = 3 + 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.
105 + -2m = 3 + 2m + -2m

Combine like terms: 2m + -2m = 0
105 + -2m = 3 + 0
105 + -2m = 3

Add '-105' to each side of the equation.
105 + -105 + -2m = 3 + -105

Combine like terms: 105 + -105 = 0
0 + -2m = 3 + -105
-2m = 3 + -105

Combine like terms: 3 + -105 = -102
-2m = -102

Divide each side by '-2'.
m = 51

Simplifying
m = 51