3[m+2]=m+14

Solution for 3[m+2]=m+14 equation:

Simplifying
3[m + 2] = m + 14

Reorder the terms:
3[2 + m] = m + 14
[2 * 3 + m * 3] = m + 14
[6 + 3m] = m + 14

Reorder the terms:
6 + 3m = 14 + m

Solving
6 + 3m = 14 + 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.
6 + 3m + -1m = 14 + m + -1m

Combine like terms: 3m + -1m = 2m
6 + 2m = 14 + m + -1m

Combine like terms: m + -1m = 0
6 + 2m = 14 + 0
6 + 2m = 14

Add '-6' to each side of the equation.
6 + -6 + 2m = 14 + -6

Combine like terms: 6 + -6 = 0
0 + 2m = 14 + -6
2m = 14 + -6

Combine like terms: 14 + -6 = 8
2m = 8

Divide each side by '2'.
m = 4

Simplifying
m = 4