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

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


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

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

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

Solving
15 + 5m = -6 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
15 + 5m + -2m = -6 + 2m + -2m

Combine like terms: 5m + -2m = 3m
15 + 3m = -6 + 2m + -2m

Combine like terms: 2m + -2m = 0
15 + 3m = -6 + 0
15 + 3m = -6

Add '-15' to each side of the equation.
15 + -15 + 3m = -6 + -15

Combine like terms: 15 + -15 = 0
0 + 3m = -6 + -15
3m = -6 + -15

Combine like terms: -6 + -15 = -21
3m = -21

Divide each side by '3'.
m = -7

Simplifying
m = -7

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