2m+4=3(m-2)

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Solution for 2m+4=3(m-2) equation:


Simplifying
2m + 4 = 3(m + -2)

Reorder the terms:
4 + 2m = 3(m + -2)

Reorder the terms:
4 + 2m = 3(-2 + m)
4 + 2m = (-2 * 3 + m * 3)
4 + 2m = (-6 + 3m)

Solving
4 + 2m = -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.
4 + 2m + -3m = -6 + 3m + -3m

Combine like terms: 2m + -3m = -1m
4 + -1m = -6 + 3m + -3m

Combine like terms: 3m + -3m = 0
4 + -1m = -6 + 0
4 + -1m = -6

Add '-4' to each side of the equation.
4 + -4 + -1m = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -1m = -6 + -4
-1m = -6 + -4

Combine like terms: -6 + -4 = -10
-1m = -10

Divide each side by '-1'.
m = 10

Simplifying
m = 10

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