5(m+3)+9=3(m-2)+6

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Solution for 5(m+3)+9=3(m-2)+6 equation:


Simplifying
5(m + 3) + 9 = 3(m + -2) + 6

Reorder the terms:
5(3 + m) + 9 = 3(m + -2) + 6
(3 * 5 + m * 5) + 9 = 3(m + -2) + 6
(15 + 5m) + 9 = 3(m + -2) + 6

Reorder the terms:
15 + 9 + 5m = 3(m + -2) + 6

Combine like terms: 15 + 9 = 24
24 + 5m = 3(m + -2) + 6

Reorder the terms:
24 + 5m = 3(-2 + m) + 6
24 + 5m = (-2 * 3 + m * 3) + 6
24 + 5m = (-6 + 3m) + 6

Reorder the terms:
24 + 5m = -6 + 6 + 3m

Combine like terms: -6 + 6 = 0
24 + 5m = 0 + 3m
24 + 5m = 3m

Solving
24 + 5m = 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.
24 + 5m + -3m = 3m + -3m

Combine like terms: 5m + -3m = 2m
24 + 2m = 3m + -3m

Combine like terms: 3m + -3m = 0
24 + 2m = 0

Add '-24' to each side of the equation.
24 + -24 + 2m = 0 + -24

Combine like terms: 24 + -24 = 0
0 + 2m = 0 + -24
2m = 0 + -24

Combine like terms: 0 + -24 = -24
2m = -24

Divide each side by '2'.
m = -12

Simplifying
m = -12

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