2[3m-5]=6

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Solution for 2[3m-5]=6 equation: 


Simplifying
2[3m + -5] = 6

Reorder the terms:
2[-5 + 3m] = 6
[-5 * 2 + 3m * 2] = 6
[-10 + 6m] = 6

Solving
-10 + 6m = 6

Solving for variable 'm'.

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

Add '10' to each side of the equation.
-10 + 10 + 6m = 6 + 10

Combine like terms: -10 + 10 = 0
0 + 6m = 6 + 10
6m = 6 + 10

Combine like terms: 6 + 10 = 16
6m = 16

Divide each side by '6'.
m = 2.666666667

Simplifying
m = 2.666666667

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