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

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

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

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

Reorder the terms:
-6 + 2m = 3(-6 + 3m)
-6 + 2m = (-6 * 3 + 3m * 3)
-6 + 2m = (-18 + 9m)

Solving
-6 + 2m = -18 + 9m

Solving for variable 'm'.

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

Add '-9m' to each side of the equation.
-6 + 2m + -9m = -18 + 9m + -9m

Combine like terms: 2m + -9m = -7m
-6 + -7m = -18 + 9m + -9m

Combine like terms: 9m + -9m = 0
-6 + -7m = -18 + 0
-6 + -7m = -18

Add '6' to each side of the equation.
-6 + 6 + -7m = -18 + 6

Combine like terms: -6 + 6 = 0
0 + -7m = -18 + 6
-7m = -18 + 6

Combine like terms: -18 + 6 = -12
-7m = -12

Divide each side by '-7'.
m = 1.714285714

Simplifying
m = 1.714285714