2m+5=3(m-7)-2m

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Solution for 2m+5=3(m-7)-2m equation:


Simplifying
2m + 5 = 3(m + -7) + -2m

Reorder the terms:
5 + 2m = 3(m + -7) + -2m

Reorder the terms:
5 + 2m = 3(-7 + m) + -2m
5 + 2m = (-7 * 3 + m * 3) + -2m
5 + 2m = (-21 + 3m) + -2m

Combine like terms: 3m + -2m = 1m
5 + 2m = -21 + 1m

Solving
5 + 2m = -21 + 1m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-1m' to each side of the equation.
5 + 2m + -1m = -21 + 1m + -1m

Combine like terms: 2m + -1m = 1m
5 + 1m = -21 + 1m + -1m

Combine like terms: 1m + -1m = 0
5 + 1m = -21 + 0
5 + 1m = -21

Add '-5' to each side of the equation.
5 + -5 + 1m = -21 + -5

Combine like terms: 5 + -5 = 0
0 + 1m = -21 + -5
1m = -21 + -5

Combine like terms: -21 + -5 = -26
1m = -26

Divide each side by '1'.
m = -26

Simplifying
m = -26

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