3m+6=2(m+1)

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

Simplifying
3m + 6 = 2(m + 1)

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

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

Solving
6 + 3m = 2 + 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.
6 + 3m + -2m = 2 + 2m + -2m

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

Combine like terms: 2m + -2m = 0
6 + 1m = 2 + 0
6 + 1m = 2

Add '-6' to each side of the equation.
6 + -6 + 1m = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 1m = 2 + -6
1m = 2 + -6

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

Divide each side by '1'.
m = -4

Simplifying
m = -4