6[3m-(2m+6)+7]=7m+3

Solution for 6[3m-(2m+6)+7]=7m+3 equation:

Simplifying
6[3m + -1(2m + 6) + 7] = 7m + 3

Reorder the terms:
6[3m + -1(6 + 2m) + 7] = 7m + 3
6[3m + (6 * -1 + 2m * -1) + 7] = 7m + 3
6[3m + (-6 + -2m) + 7] = 7m + 3

Reorder the terms:
6[-6 + 7 + 3m + -2m] = 7m + 3

Combine like terms: -6 + 7 = 1
6[1 + 3m + -2m] = 7m + 3

Combine like terms: 3m + -2m = 1m
6[1 + 1m] = 7m + 3
[1 * 6 + 1m * 6] = 7m + 3
[6 + 6m] = 7m + 3

Reorder the terms:
6 + 6m = 3 + 7m

Solving
6 + 6m = 3 + 7m

Solving for variable 'm'.

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

Add '-7m' to each side of the equation.
6 + 6m + -7m = 3 + 7m + -7m

Combine like terms: 6m + -7m = -1m
6 + -1m = 3 + 7m + -7m

Combine like terms: 7m + -7m = 0
6 + -1m = 3 + 0
6 + -1m = 3

Add '-6' to each side of the equation.
6 + -6 + -1m = 3 + -6

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

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

Divide each side by '-1'.
m = 3

Simplifying
m = 3