5(m-12)-24=3(m+2)

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Solution for 5(m-12)-24=3(m+2) equation:


Simplifying
5(m + -12) + -24 = 3(m + 2)

Reorder the terms:
5(-12 + m) + -24 = 3(m + 2)
(-12 * 5 + m * 5) + -24 = 3(m + 2)
(-60 + 5m) + -24 = 3(m + 2)

Reorder the terms:
-60 + -24 + 5m = 3(m + 2)

Combine like terms: -60 + -24 = -84
-84 + 5m = 3(m + 2)

Reorder the terms:
-84 + 5m = 3(2 + m)
-84 + 5m = (2 * 3 + m * 3)
-84 + 5m = (6 + 3m)

Solving
-84 + 5m = 6 + 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.
-84 + 5m + -3m = 6 + 3m + -3m

Combine like terms: 5m + -3m = 2m
-84 + 2m = 6 + 3m + -3m

Combine like terms: 3m + -3m = 0
-84 + 2m = 6 + 0
-84 + 2m = 6

Add '84' to each side of the equation.
-84 + 84 + 2m = 6 + 84

Combine like terms: -84 + 84 = 0
0 + 2m = 6 + 84
2m = 6 + 84

Combine like terms: 6 + 84 = 90
2m = 90

Divide each side by '2'.
m = 45

Simplifying
m = 45

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