2[m-(2m+17)+12]=2(m+5)

Solution for 2[m-(2m+17)+12]=2(m+5) equation:

Simplifying
2[m + -1(2m + 17) + 12] = 2(m + 5)

Reorder the terms:
2[m + -1(17 + 2m) + 12] = 2(m + 5)
2[m + (17 * -1 + 2m * -1) + 12] = 2(m + 5)
2[m + (-17 + -2m) + 12] = 2(m + 5)

Reorder the terms:
2[-17 + 12 + m + -2m] = 2(m + 5)

Combine like terms: -17 + 12 = -5
2[-5 + m + -2m] = 2(m + 5)

Combine like terms: m + -2m = -1m
2[-5 + -1m] = 2(m + 5)
[-5 * 2 + -1m * 2] = 2(m + 5)
[-10 + -2m] = 2(m + 5)

Reorder the terms:
-10 + -2m = 2(5 + m)
-10 + -2m = (5 * 2 + m * 2)
-10 + -2m = (10 + 2m)

Solving
-10 + -2m = 10 + 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.
-10 + -2m + -2m = 10 + 2m + -2m

Combine like terms: -2m + -2m = -4m
-10 + -4m = 10 + 2m + -2m

Combine like terms: 2m + -2m = 0
-10 + -4m = 10 + 0
-10 + -4m = 10

Add '10' to each side of the equation.
-10 + 10 + -4m = 10 + 10

Combine like terms: -10 + 10 = 0
0 + -4m = 10 + 10
-4m = 10 + 10

Combine like terms: 10 + 10 = 20
-4m = 20

Divide each side by '-4'.
m = -5

Simplifying
m = -5