3(-2m+6)-7=3-2(6x+2)

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Solution for 3(-2m+6)-7=3-2(6x+2) equation:


Simplifying
3(-2m + 6) + -7 = 3 + -2(6x + 2)

Reorder the terms:
3(6 + -2m) + -7 = 3 + -2(6x + 2)
(6 * 3 + -2m * 3) + -7 = 3 + -2(6x + 2)
(18 + -6m) + -7 = 3 + -2(6x + 2)

Reorder the terms:
18 + -7 + -6m = 3 + -2(6x + 2)

Combine like terms: 18 + -7 = 11
11 + -6m = 3 + -2(6x + 2)

Reorder the terms:
11 + -6m = 3 + -2(2 + 6x)
11 + -6m = 3 + (2 * -2 + 6x * -2)
11 + -6m = 3 + (-4 + -12x)

Combine like terms: 3 + -4 = -1
11 + -6m = -1 + -12x

Solving
11 + -6m = -1 + -12x

Solving for variable 'm'.

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

Add '-11' to each side of the equation.
11 + -11 + -6m = -1 + -11 + -12x

Combine like terms: 11 + -11 = 0
0 + -6m = -1 + -11 + -12x
-6m = -1 + -11 + -12x

Combine like terms: -1 + -11 = -12
-6m = -12 + -12x

Divide each side by '-6'.
m = 2 + 2x

Simplifying
m = 2 + 2x

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