3m-6=5w-2(w-2)

Solution for 3m-6=5w-2(w-2) equation:

Simplifying
3m + -6 = 5w + -2(w + -2)

Reorder the terms:
-6 + 3m = 5w + -2(w + -2)

Reorder the terms:
-6 + 3m = 5w + -2(-2 + w)
-6 + 3m = 5w + (-2 * -2 + w * -2)
-6 + 3m = 5w + (4 + -2w)

Reorder the terms:
-6 + 3m = 4 + 5w + -2w

Combine like terms: 5w + -2w = 3w
-6 + 3m = 4 + 3w

Solving
-6 + 3m = 4 + 3w

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 + 3m = 4 + 6 + 3w

Combine like terms: -6 + 6 = 0
0 + 3m = 4 + 6 + 3w
3m = 4 + 6 + 3w

Combine like terms: 4 + 6 = 10
3m = 10 + 3w

Divide each side by '3'.
m = 3.333333333 + w

Simplifying
m = 3.333333333 + w