[3(m-5)+18]-[3(4m-2)+3]=

Solution for [3(m-5)+18]-[3(4m-2)+3]= equation:

Simplifying
[3(m + -5) + 18] + -1[3(4m + -2) + 3] = 0

Reorder the terms:
[3(-5 + m) + 18] + -1[3(4m + -2) + 3] = 0
[(-5 * 3 + m * 3) + 18] + -1[3(4m + -2) + 3] = 0
[(-15 + 3m) + 18] + -1[3(4m + -2) + 3] = 0

Reorder the terms:
[-15 + 18 + 3m] + -1[3(4m + -2) + 3] = 0

Combine like terms: -15 + 18 = 3
[3 + 3m] + -1[3(4m + -2) + 3] = 0

Remove brackets around [3 + 3m]
3 + 3m + -1[3(4m + -2) + 3] = 0

Reorder the terms:
3 + 3m + -1[3(-2 + 4m) + 3] = 0
3 + 3m + -1[(-2 * 3 + 4m * 3) + 3] = 0
3 + 3m + -1[(-6 + 12m) + 3] = 0

Reorder the terms:
3 + 3m + -1[-6 + 3 + 12m] = 0

Combine like terms: -6 + 3 = -3
3 + 3m + -1[-3 + 12m] = 0
3 + 3m + [-3 * -1 + 12m * -1] = 0
3 + 3m + [3 + -12m] = 0

Reorder the terms:
3 + 3 + 3m + -12m = 0

Combine like terms: 3 + 3 = 6
6 + 3m + -12m = 0

Combine like terms: 3m + -12m = -9m
6 + -9m = 0

Solving
6 + -9m = 0

Solving for variable 'm'.

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

Add '-6' to each side of the equation.
6 + -6 + -9m = 0 + -6

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

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

Divide each side by '-9'.
m = 0.6666666667

Simplifying
m = 0.6666666667