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

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

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

Reorder the terms:
2(-3 + m) = 4(3 + m)
(-3 * 2 + m * 2) = 4(3 + m)
(-6 + 2m) = 4(3 + m)
-6 + 2m = (3 * 4 + m * 4)
-6 + 2m = (12 + 4m)

Solving
-6 + 2m = 12 + 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 = 12 + 4m + -4m

Combine like terms: 2m + -4m = -2m
-6 + -2m = 12 + 4m + -4m

Combine like terms: 4m + -4m = 0
-6 + -2m = 12 + 0
-6 + -2m = 12

Add '6' to each side of the equation.
-6 + 6 + -2m = 12 + 6

Combine like terms: -6 + 6 = 0
0 + -2m = 12 + 6
-2m = 12 + 6

Combine like terms: 12 + 6 = 18
-2m = 18

Divide each side by '-2'.
m = -9

Simplifying
m = -9