4[m-3(2-m)-5]=-10(5-m)

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Solution for 4[m-3(2-m)-5]=-10(5-m) equation: 


Simplifying
4[m + -3(2 + -1m) + -5] = -10(5 + -1m)
4[m + (2 * -3 + -1m * -3) + -5] = -10(5 + -1m)
4[m + (-6 + 3m) + -5] = -10(5 + -1m)

Reorder the terms:
4[-6 + -5 + m + 3m] = -10(5 + -1m)

Combine like terms: -6 + -5 = -11
4[-11 + m + 3m] = -10(5 + -1m)

Combine like terms: m + 3m = 4m
4[-11 + 4m] = -10(5 + -1m)
[-11 * 4 + 4m * 4] = -10(5 + -1m)
[-44 + 16m] = -10(5 + -1m)
-44 + 16m = (5 * -10 + -1m * -10)
-44 + 16m = (-50 + 10m)

Solving
-44 + 16m = -50 + 10m

Solving for variable 'm'.

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

Add '-10m' to each side of the equation.
-44 + 16m + -10m = -50 + 10m + -10m

Combine like terms: 16m + -10m = 6m
-44 + 6m = -50 + 10m + -10m

Combine like terms: 10m + -10m = 0
-44 + 6m = -50 + 0
-44 + 6m = -50

Add '44' to each side of the equation.
-44 + 44 + 6m = -50 + 44

Combine like terms: -44 + 44 = 0
0 + 6m = -50 + 44
6m = -50 + 44

Combine like terms: -50 + 44 = -6
6m = -6

Divide each side by '6'.
m = -1

Simplifying
m = -1

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