2[m-(4m+9)+5]=2(m+4)

Solution for 2[m-(4m+9)+5]=2(m+4) equation:

Simplifying
2[m + -1(4m + 9) + 5] = 2(m + 4)

Reorder the terms:
2[m + -1(9 + 4m) + 5] = 2(m + 4)
2[m + (9 * -1 + 4m * -1) + 5] = 2(m + 4)
2[m + (-9 + -4m) + 5] = 2(m + 4)

Reorder the terms:
2[-9 + 5 + m + -4m] = 2(m + 4)

Combine like terms: -9 + 5 = -4
2[-4 + m + -4m] = 2(m + 4)

Combine like terms: m + -4m = -3m
2[-4 + -3m] = 2(m + 4)
[-4 * 2 + -3m * 2] = 2(m + 4)
[-8 + -6m] = 2(m + 4)

Reorder the terms:
-8 + -6m = 2(4 + m)
-8 + -6m = (4 * 2 + m * 2)
-8 + -6m = (8 + 2m)

Solving
-8 + -6m = 8 + 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.
-8 + -6m + -2m = 8 + 2m + -2m

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

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

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

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

Combine like terms: 8 + 8 = 16
-8m = 16

Divide each side by '-8'.
m = -2

Simplifying
m = -2