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

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


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

Reorder the terms:
2(3 + m) + -5(m + -2) = 3(m + -8)
(3 * 2 + m * 2) + -5(m + -2) = 3(m + -8)
(6 + 2m) + -5(m + -2) = 3(m + -8)

Reorder the terms:
6 + 2m + -5(-2 + m) = 3(m + -8)
6 + 2m + (-2 * -5 + m * -5) = 3(m + -8)
6 + 2m + (10 + -5m) = 3(m + -8)

Reorder the terms:
6 + 10 + 2m + -5m = 3(m + -8)

Combine like terms: 6 + 10 = 16
16 + 2m + -5m = 3(m + -8)

Combine like terms: 2m + -5m = -3m
16 + -3m = 3(m + -8)

Reorder the terms:
16 + -3m = 3(-8 + m)
16 + -3m = (-8 * 3 + m * 3)
16 + -3m = (-24 + 3m)

Solving
16 + -3m = -24 + 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.
16 + -3m + -3m = -24 + 3m + -3m

Combine like terms: -3m + -3m = -6m
16 + -6m = -24 + 3m + -3m

Combine like terms: 3m + -3m = 0
16 + -6m = -24 + 0
16 + -6m = -24

Add '-16' to each side of the equation.
16 + -16 + -6m = -24 + -16

Combine like terms: 16 + -16 = 0
0 + -6m = -24 + -16
-6m = -24 + -16

Combine like terms: -24 + -16 = -40
-6m = -40

Divide each side by '-6'.
m = 6.666666667

Simplifying
m = 6.666666667

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