3=2(m-3)

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

Simplifying
3 = 2(m + -3)

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

Solving
3 = -6 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
3 + -2m = -6 + 2m + -2m

Combine like terms: 2m + -2m = 0
3 + -2m = -6 + 0
3 + -2m = -6

Add '-3' to each side of the equation.
3 + -3 + -2m = -6 + -3

Combine like terms: 3 + -3 = 0
0 + -2m = -6 + -3
-2m = -6 + -3

Combine like terms: -6 + -3 = -9
-2m = -9

Divide each side by '-2'.
m = 4.5

Simplifying
m = 4.5