3m=2(m-5)+12

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


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

Reorder the terms:
3m = 2(-5 + m) + 12
3m = (-5 * 2 + m * 2) + 12
3m = (-10 + 2m) + 12

Reorder the terms:
3m = -10 + 12 + 2m

Combine like terms: -10 + 12 = 2
3m = 2 + 2m

Solving
3m = 2 + 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.
3m + -2m = 2 + 2m + -2m

Combine like terms: 3m + -2m = 1m
1m = 2 + 2m + -2m

Combine like terms: 2m + -2m = 0
1m = 2 + 0
1m = 2

Divide each side by '1'.
m = 2

Simplifying
m = 2

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