2(m-3)=5m

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

Simplifying
2(m + -3) = 5m

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

Solving
-6 + 2m = 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
-6 + 2m + -5m = 5m + -5m

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

Combine like terms: 5m + -5m = 0
-6 + -3m = 0

Add '6' to each side of the equation.
-6 + 6 + -3m = 0 + 6

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

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

Divide each side by '-3'.
m = -2

Simplifying
m = -2