5m=2-3(m-2)

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


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

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

Combine like terms: 2 + 6 = 8
5m = 8 + -3m

Solving
5m = 8 + -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.
5m + 3m = 8 + -3m + 3m

Combine like terms: 5m + 3m = 8m
8m = 8 + -3m + 3m

Combine like terms: -3m + 3m = 0
8m = 8 + 0
8m = 8

Divide each side by '8'.
m = 1

Simplifying
m = 1

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