m+(m+3)+(2m+1)=5m+2

Solution for m+(m+3)+(2m+1)=5m+2 equation:

Simplifying
m + (m + 3) + (2m + 1) = 5m + 2

Reorder the terms:
m + (3 + m) + (2m + 1) = 5m + 2

Remove parenthesis around (3 + m)
m + 3 + m + (2m + 1) = 5m + 2

Reorder the terms:
m + 3 + m + (1 + 2m) = 5m + 2

Remove parenthesis around (1 + 2m)
m + 3 + m + 1 + 2m = 5m + 2

Reorder the terms:
3 + 1 + m + m + 2m = 5m + 2

Combine like terms: 3 + 1 = 4
4 + m + m + 2m = 5m + 2

Combine like terms: m + m = 2m
4 + 2m + 2m = 5m + 2

Combine like terms: 2m + 2m = 4m
4 + 4m = 5m + 2

Reorder the terms:
4 + 4m = 2 + 5m

Solving
4 + 4m = 2 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
4 + 4m + -5m = 2 + 5m + -5m

Combine like terms: 4m + -5m = -1m
4 + -1m = 2 + 5m + -5m

Combine like terms: 5m + -5m = 0
4 + -1m = 2 + 0
4 + -1m = 2

Add '-4' to each side of the equation.
4 + -4 + -1m = 2 + -4

Combine like terms: 4 + -4 = 0
0 + -1m = 2 + -4
-1m = 2 + -4

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

Divide each side by '-1'.
m = 2

Simplifying
m = 2