4(m+3)=6+m

Solution for 4(m+3)=6+m equation:

Simplifying
4(m + 3) = 6 + m

Reorder the terms:
4(3 + m) = 6 + m
(3 * 4 + m * 4) = 6 + m
(12 + 4m) = 6 + m

Solving
12 + 4m = 6 + m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
12 + 4m + -1m = 6 + m + -1m

Combine like terms: 4m + -1m = 3m
12 + 3m = 6 + m + -1m

Combine like terms: m + -1m = 0
12 + 3m = 6 + 0
12 + 3m = 6

Add '-12' to each side of the equation.
12 + -12 + 3m = 6 + -12

Combine like terms: 12 + -12 = 0
0 + 3m = 6 + -12
3m = 6 + -12

Combine like terms: 6 + -12 = -6
3m = -6

Divide each side by '3'.
m = -2

Simplifying
m = -2