3(2m+3)-(1-2m)=2[3(3+2m)-(3-m)]

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


Simplifying
3(2m + 3) + -1(1 + -2m) = 2[3(3 + 2m) + -1(3 + -1m)]

Reorder the terms:
3(3 + 2m) + -1(1 + -2m) = 2[3(3 + 2m) + -1(3 + -1m)]
(3 * 3 + 2m * 3) + -1(1 + -2m) = 2[3(3 + 2m) + -1(3 + -1m)]
(9 + 6m) + -1(1 + -2m) = 2[3(3 + 2m) + -1(3 + -1m)]
9 + 6m + (1 * -1 + -2m * -1) = 2[3(3 + 2m) + -1(3 + -1m)]
9 + 6m + (-1 + 2m) = 2[3(3 + 2m) + -1(3 + -1m)]

Reorder the terms:
9 + -1 + 6m + 2m = 2[3(3 + 2m) + -1(3 + -1m)]

Combine like terms: 9 + -1 = 8
8 + 6m + 2m = 2[3(3 + 2m) + -1(3 + -1m)]

Combine like terms: 6m + 2m = 8m
8 + 8m = 2[3(3 + 2m) + -1(3 + -1m)]
8 + 8m = 2[(3 * 3 + 2m * 3) + -1(3 + -1m)]
8 + 8m = 2[(9 + 6m) + -1(3 + -1m)]
8 + 8m = 2[9 + 6m + (3 * -1 + -1m * -1)]
8 + 8m = 2[9 + 6m + (-3 + 1m)]

Reorder the terms:
8 + 8m = 2[9 + -3 + 6m + 1m]

Combine like terms: 9 + -3 = 6
8 + 8m = 2[6 + 6m + 1m]

Combine like terms: 6m + 1m = 7m
8 + 8m = 2[6 + 7m]
8 + 8m = [6 * 2 + 7m * 2]
8 + 8m = [12 + 14m]

Solving
8 + 8m = 12 + 14m

Solving for variable 'm'.

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

Add '-14m' to each side of the equation.
8 + 8m + -14m = 12 + 14m + -14m

Combine like terms: 8m + -14m = -6m
8 + -6m = 12 + 14m + -14m

Combine like terms: 14m + -14m = 0
8 + -6m = 12 + 0
8 + -6m = 12

Add '-8' to each side of the equation.
8 + -8 + -6m = 12 + -8

Combine like terms: 8 + -8 = 0
0 + -6m = 12 + -8
-6m = 12 + -8

Combine like terms: 12 + -8 = 4
-6m = 4

Divide each side by '-6'.
m = -0.6666666667

Simplifying
m = -0.6666666667

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