2m-5=-3(m-2)-8

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Solution for 2m-5=-3(m-2)-8 equation:


Simplifying
2m + -5 = -3(m + -2) + -8

Reorder the terms:
-5 + 2m = -3(m + -2) + -8

Reorder the terms:
-5 + 2m = -3(-2 + m) + -8
-5 + 2m = (-2 * -3 + m * -3) + -8
-5 + 2m = (6 + -3m) + -8

Reorder the terms:
-5 + 2m = 6 + -8 + -3m

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

Solving
-5 + 2m = -2 + -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.
-5 + 2m + 3m = -2 + -3m + 3m

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

Combine like terms: -3m + 3m = 0
-5 + 5m = -2 + 0
-5 + 5m = -2

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

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

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

Divide each side by '5'.
m = 0.6

Simplifying
m = 0.6

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