6m+4-5m+2+m=3(m+1)

Solution for 6m+4-5m+2+m=3(m+1) equation:

Simplifying
6m + 4 + -5m + 2 + m = 3(m + 1)

Reorder the terms:
4 + 2 + 6m + -5m + m = 3(m + 1)

Combine like terms: 4 + 2 = 6
6 + 6m + -5m + m = 3(m + 1)

Combine like terms: 6m + -5m = 1m
6 + 1m + m = 3(m + 1)

Combine like terms: 1m + m = 2m
6 + 2m = 3(m + 1)

Reorder the terms:
6 + 2m = 3(1 + m)
6 + 2m = (1 * 3 + m * 3)
6 + 2m = (3 + 3m)

Solving
6 + 2m = 3 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
6 + 2m + -3m = 3 + 3m + -3m

Combine like terms: 2m + -3m = -1m
6 + -1m = 3 + 3m + -3m

Combine like terms: 3m + -3m = 0
6 + -1m = 3 + 0
6 + -1m = 3

Add '-6' to each side of the equation.
6 + -6 + -1m = 3 + -6

Combine like terms: 6 + -6 = 0
0 + -1m = 3 + -6
-1m = 3 + -6

Combine like terms: 3 + -6 = -3
-1m = -3

Divide each side by '-1'.
m = 3

Simplifying
m = 3