83=2(m+5)+(m+5)+m

Solution for 83=2(m+5)+(m+5)+m equation:

Simplifying
83 = 2(m + 5) + (m + 5) + m

Reorder the terms:
83 = 2(5 + m) + (m + 5) + m
83 = (5 * 2 + m * 2) + (m + 5) + m
83 = (10 + 2m) + (m + 5) + m

Reorder the terms:
83 = 10 + 2m + (5 + m) + m

Remove parenthesis around (5 + m)
83 = 10 + 2m + 5 + m + m

Reorder the terms:
83 = 10 + 5 + 2m + m + m

Combine like terms: 10 + 5 = 15
83 = 15 + 2m + m + m

Combine like terms: 2m + m = 3m
83 = 15 + 3m + m

Combine like terms: 3m + m = 4m
83 = 15 + 4m

Solving
83 = 15 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
83 + -4m = 15 + 4m + -4m

Combine like terms: 4m + -4m = 0
83 + -4m = 15 + 0
83 + -4m = 15

Add '-83' to each side of the equation.
83 + -83 + -4m = 15 + -83

Combine like terms: 83 + -83 = 0
0 + -4m = 15 + -83
-4m = 15 + -83

Combine like terms: 15 + -83 = -68
-4m = -68

Divide each side by '-4'.
m = 17

Simplifying
m = 17