2(2m-3)=6+m

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

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

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

Solving
-6 + 4m = 6 + m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
-6 + 4m + -1m = 6 + m + -1m

Combine like terms: 4m + -1m = 3m
-6 + 3m = 6 + m + -1m

Combine like terms: m + -1m = 0
-6 + 3m = 6 + 0
-6 + 3m = 6

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

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

Combine like terms: 6 + 6 = 12
3m = 12

Divide each side by '3'.
m = 4

Simplifying
m = 4