8(m+5)=2(3m-8)

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Solution for 8(m+5)=2(3m-8) equation:


Simplifying
8(m + 5) = 2(3m + -8)

Reorder the terms:
8(5 + m) = 2(3m + -8)
(5 * 8 + m * 8) = 2(3m + -8)
(40 + 8m) = 2(3m + -8)

Reorder the terms:
40 + 8m = 2(-8 + 3m)
40 + 8m = (-8 * 2 + 3m * 2)
40 + 8m = (-16 + 6m)

Solving
40 + 8m = -16 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
40 + 8m + -6m = -16 + 6m + -6m

Combine like terms: 8m + -6m = 2m
40 + 2m = -16 + 6m + -6m

Combine like terms: 6m + -6m = 0
40 + 2m = -16 + 0
40 + 2m = -16

Add '-40' to each side of the equation.
40 + -40 + 2m = -16 + -40

Combine like terms: 40 + -40 = 0
0 + 2m = -16 + -40
2m = -16 + -40

Combine like terms: -16 + -40 = -56
2m = -56

Divide each side by '2'.
m = -28

Simplifying
m = -28

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