2m+5=3(m-1)

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Solution for 2m+5=3(m-1) equation:


Simplifying
2m + 5 = 3(m + -1)

Reorder the terms:
5 + 2m = 3(m + -1)

Reorder the terms:
5 + 2m = 3(-1 + m)
5 + 2m = (-1 * 3 + m * 3)
5 + 2m = (-3 + 3m)

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

Combine like terms: 2m + -3m = -1m
5 + -1m = -3 + 3m + -3m

Combine like terms: 3m + -3m = 0
5 + -1m = -3 + 0
5 + -1m = -3

Add '-5' to each side of the equation.
5 + -5 + -1m = -3 + -5

Combine like terms: 5 + -5 = 0
0 + -1m = -3 + -5
-1m = -3 + -5

Combine like terms: -3 + -5 = -8
-1m = -8

Divide each side by '-1'.
m = 8

Simplifying
m = 8

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