2(m+5)=4(n-4m)

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Solution for 2(m+5)=4(n-4m) equation:


Simplifying
2(m + 5) = 4(n + -4m)

Reorder the terms:
2(5 + m) = 4(n + -4m)
(5 * 2 + m * 2) = 4(n + -4m)
(10 + 2m) = 4(n + -4m)

Reorder the terms:
10 + 2m = 4(-4m + n)
10 + 2m = (-4m * 4 + n * 4)
10 + 2m = (-16m + 4n)

Solving
10 + 2m = -16m + 4n

Solving for variable 'm'.

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

Add '16m' to each side of the equation.
10 + 2m + 16m = -16m + 16m + 4n

Combine like terms: 2m + 16m = 18m
10 + 18m = -16m + 16m + 4n

Combine like terms: -16m + 16m = 0
10 + 18m = 0 + 4n
10 + 18m = 4n

Add '-10' to each side of the equation.
10 + -10 + 18m = -10 + 4n

Combine like terms: 10 + -10 = 0
0 + 18m = -10 + 4n
18m = -10 + 4n

Divide each side by '18'.
m = -0.5555555556 + 0.2222222222n

Simplifying
m = -0.5555555556 + 0.2222222222n

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