2[m-(4m+19)+13]=2(m+6)

Solution for 2[m-(4m+19)+13]=2(m+6) equation:

Simplifying
2[m + -1(4m + 19) + 13] = 2(m + 6)

Reorder the terms:
2[m + -1(19 + 4m) + 13] = 2(m + 6)
2[m + (19 * -1 + 4m * -1) + 13] = 2(m + 6)
2[m + (-19 + -4m) + 13] = 2(m + 6)

Reorder the terms:
2[-19 + 13 + m + -4m] = 2(m + 6)

Combine like terms: -19 + 13 = -6
2[-6 + m + -4m] = 2(m + 6)

Combine like terms: m + -4m = -3m
2[-6 + -3m] = 2(m + 6)
[-6 * 2 + -3m * 2] = 2(m + 6)
[-12 + -6m] = 2(m + 6)

Reorder the terms:
-12 + -6m = 2(6 + m)
-12 + -6m = (6 * 2 + m * 2)
-12 + -6m = (12 + 2m)

Solving
-12 + -6m = 12 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
-12 + -6m + -2m = 12 + 2m + -2m

Combine like terms: -6m + -2m = -8m
-12 + -8m = 12 + 2m + -2m

Combine like terms: 2m + -2m = 0
-12 + -8m = 12 + 0
-12 + -8m = 12

Add '12' to each side of the equation.
-12 + 12 + -8m = 12 + 12

Combine like terms: -12 + 12 = 0
0 + -8m = 12 + 12
-8m = 12 + 12

Combine like terms: 12 + 12 = 24
-8m = 24

Divide each side by '-8'.
m = -3

Simplifying
m = -3