2(m+3)=4(m-1)

Solution for 2(m+3)=4(m-1) equation:

Simplifying
2(m + 3) = 4(m + -1)

Reorder the terms:
2(3 + m) = 4(m + -1)
(3 * 2 + m * 2) = 4(m + -1)
(6 + 2m) = 4(m + -1)

Reorder the terms:
6 + 2m = 4(-1 + m)
6 + 2m = (-1 * 4 + m * 4)
6 + 2m = (-4 + 4m)

Solving
6 + 2m = -4 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
6 + 2m + -4m = -4 + 4m + -4m

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

Combine like terms: 4m + -4m = 0
6 + -2m = -4 + 0
6 + -2m = -4

Add '-6' to each side of the equation.
6 + -6 + -2m = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -2m = -4 + -6
-2m = -4 + -6

Combine like terms: -4 + -6 = -10
-2m = -10

Divide each side by '-2'.
m = 5

Simplifying
m = 5