6m+2(m+3)=38

Solution for 6m+2(m+3)=38 equation:

Simplifying
6m + 2(m + 3) = 38

Reorder the terms:
6m + 2(3 + m) = 38
6m + (3 * 2 + m * 2) = 38
6m + (6 + 2m) = 38

Reorder the terms:
6 + 6m + 2m = 38

Combine like terms: 6m + 2m = 8m
6 + 8m = 38

Solving
6 + 8m = 38

Solving for variable 'm'.

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

Add '-6' to each side of the equation.
6 + -6 + 8m = 38 + -6

Combine like terms: 6 + -6 = 0
0 + 8m = 38 + -6
8m = 38 + -6

Combine like terms: 38 + -6 = 32
8m = 32

Divide each side by '8'.
m = 4

Simplifying
m = 4