3(2m-1)+3(5-m)=1

Solution for 3(2m-1)+3(5-m)=1 equation:

Simplifying
3(2m + -1) + 3(5 + -1m) = 1

Reorder the terms:
3(-1 + 2m) + 3(5 + -1m) = 1
(-1 * 3 + 2m * 3) + 3(5 + -1m) = 1
(-3 + 6m) + 3(5 + -1m) = 1
-3 + 6m + (5 * 3 + -1m * 3) = 1
-3 + 6m + (15 + -3m) = 1

Reorder the terms:
-3 + 15 + 6m + -3m = 1

Combine like terms: -3 + 15 = 12
12 + 6m + -3m = 1

Combine like terms: 6m + -3m = 3m
12 + 3m = 1

Solving
12 + 3m = 1

Solving for variable 'm'.

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

Add '-12' to each side of the equation.
12 + -12 + 3m = 1 + -12

Combine like terms: 12 + -12 = 0
0 + 3m = 1 + -12
3m = 1 + -12

Combine like terms: 1 + -12 = -11
3m = -11

Divide each side by '3'.
m = -3.666666667

Simplifying
m = -3.666666667