3(m-12)=5m+2

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


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

Reorder the terms:
3(-12 + m) = 5m + 2
(-12 * 3 + m * 3) = 5m + 2
(-36 + 3m) = 5m + 2

Reorder the terms:
-36 + 3m = 2 + 5m

Solving
-36 + 3m = 2 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
-36 + 3m + -5m = 2 + 5m + -5m

Combine like terms: 3m + -5m = -2m
-36 + -2m = 2 + 5m + -5m

Combine like terms: 5m + -5m = 0
-36 + -2m = 2 + 0
-36 + -2m = 2

Add '36' to each side of the equation.
-36 + 36 + -2m = 2 + 36

Combine like terms: -36 + 36 = 0
0 + -2m = 2 + 36
-2m = 2 + 36

Combine like terms: 2 + 36 = 38
-2m = 38

Divide each side by '-2'.
m = -19

Simplifying
m = -19

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