2[(m+50)+50]=3[(m-30)+50]-70

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Solution for 2[(m+50)+50]=3[(m-30)+50]-70 equation:


Simplifying
2[(m + 50) + 50] = 3[(m + -30) + 50] + -70

Reorder the terms:
2[(50 + m) + 50] = 3[(m + -30) + 50] + -70

Remove parenthesis around (50 + m)
2[50 + m + 50] = 3[(m + -30) + 50] + -70

Reorder the terms:
2[50 + 50 + m] = 3[(m + -30) + 50] + -70

Combine like terms: 50 + 50 = 100
2[100 + m] = 3[(m + -30) + 50] + -70
[100 * 2 + m * 2] = 3[(m + -30) + 50] + -70
[200 + 2m] = 3[(m + -30) + 50] + -70

Reorder the terms:
200 + 2m = 3[(-30 + m) + 50] + -70

Remove parenthesis around (-30 + m)
200 + 2m = 3[-30 + m + 50] + -70

Reorder the terms:
200 + 2m = 3[-30 + 50 + m] + -70

Combine like terms: -30 + 50 = 20
200 + 2m = 3[20 + m] + -70
200 + 2m = [20 * 3 + m * 3] + -70
200 + 2m = [60 + 3m] + -70

Reorder the terms:
200 + 2m = 60 + -70 + 3m

Combine like terms: 60 + -70 = -10
200 + 2m = -10 + 3m

Solving
200 + 2m = -10 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
200 + 2m + -3m = -10 + 3m + -3m

Combine like terms: 2m + -3m = -1m
200 + -1m = -10 + 3m + -3m

Combine like terms: 3m + -3m = 0
200 + -1m = -10 + 0
200 + -1m = -10

Add '-200' to each side of the equation.
200 + -200 + -1m = -10 + -200

Combine like terms: 200 + -200 = 0
0 + -1m = -10 + -200
-1m = -10 + -200

Combine like terms: -10 + -200 = -210
-1m = -210

Divide each side by '-1'.
m = 210

Simplifying
m = 210

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