4m+2(2m+3)=46

Solution for 4m+2(2m+3)=46 equation:

Simplifying
4m + 2(2m + 3) = 46

Reorder the terms:
4m + 2(3 + 2m) = 46
4m + (3 * 2 + 2m * 2) = 46
4m + (6 + 4m) = 46

Reorder the terms:
6 + 4m + 4m = 46

Combine like terms: 4m + 4m = 8m
6 + 8m = 46

Solving
6 + 8m = 46

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 = 46 + -6

Combine like terms: 6 + -6 = 0
0 + 8m = 46 + -6
8m = 46 + -6

Combine like terms: 46 + -6 = 40
8m = 40

Divide each side by '8'.
m = 5

Simplifying
m = 5