12m-5(2m-9)=3(2m-1)+3

Solution for 12m-5(2m-9)=3(2m-1)+3 equation:

Simplifying
12m + -5(2m + -9) = 3(2m + -1) + 3

Reorder the terms:
12m + -5(-9 + 2m) = 3(2m + -1) + 3
12m + (-9 * -5 + 2m * -5) = 3(2m + -1) + 3
12m + (45 + -10m) = 3(2m + -1) + 3

Reorder the terms:
45 + 12m + -10m = 3(2m + -1) + 3

Combine like terms: 12m + -10m = 2m
45 + 2m = 3(2m + -1) + 3

Reorder the terms:
45 + 2m = 3(-1 + 2m) + 3
45 + 2m = (-1 * 3 + 2m * 3) + 3
45 + 2m = (-3 + 6m) + 3

Reorder the terms:
45 + 2m = -3 + 3 + 6m

Combine like terms: -3 + 3 = 0
45 + 2m = 0 + 6m
45 + 2m = 6m

Solving
45 + 2m = 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
45 + 2m + -6m = 6m + -6m

Combine like terms: 2m + -6m = -4m
45 + -4m = 6m + -6m

Combine like terms: 6m + -6m = 0
45 + -4m = 0

Add '-45' to each side of the equation.
45 + -45 + -4m = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -4m = 0 + -45
-4m = 0 + -45

Combine like terms: 0 + -45 = -45
-4m = -45

Divide each side by '-4'.
m = 11.25

Simplifying
m = 11.25