6[m-1]=3[3m+5]

Solution for 6[m-1]=3[3m+5] equation:

Simplifying
6[m + -1] = 3[3m + 5]

Reorder the terms:
6[-1 + m] = 3[3m + 5]
[-1 * 6 + m * 6] = 3[3m + 5]
[-6 + 6m] = 3[3m + 5]

Reorder the terms:
-6 + 6m = 3[5 + 3m]
-6 + 6m = [5 * 3 + 3m * 3]
-6 + 6m = [15 + 9m]

Solving
-6 + 6m = 15 + 9m

Solving for variable 'm'.

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

Add '-9m' to each side of the equation.
-6 + 6m + -9m = 15 + 9m + -9m

Combine like terms: 6m + -9m = -3m
-6 + -3m = 15 + 9m + -9m

Combine like terms: 9m + -9m = 0
-6 + -3m = 15 + 0
-6 + -3m = 15

Add '6' to each side of the equation.
-6 + 6 + -3m = 15 + 6

Combine like terms: -6 + 6 = 0
0 + -3m = 15 + 6
-3m = 15 + 6

Combine like terms: 15 + 6 = 21
-3m = 21

Divide each side by '-3'.
m = -7

Simplifying
m = -7