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

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


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

Reorder the terms:
2(2 + 3m) + -2 = 5m + -1
(2 * 2 + 3m * 2) + -2 = 5m + -1
(4 + 6m) + -2 = 5m + -1

Reorder the terms:
4 + -2 + 6m = 5m + -1

Combine like terms: 4 + -2 = 2
2 + 6m = 5m + -1

Reorder the terms:
2 + 6m = -1 + 5m

Solving
2 + 6m = -1 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
2 + 6m + -5m = -1 + 5m + -5m

Combine like terms: 6m + -5m = 1m
2 + 1m = -1 + 5m + -5m

Combine like terms: 5m + -5m = 0
2 + 1m = -1 + 0
2 + 1m = -1

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

Combine like terms: 2 + -2 = 0
0 + 1m = -1 + -2
1m = -1 + -2

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

Divide each side by '1'.
m = -3

Simplifying
m = -3

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