6(x-4)+12-2(2x-6)=-13+2(3x+4)-6(x-2)+20

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Solution for 6(x-4)+12-2(2x-6)=-13+2(3x+4)-6(x-2)+20 equation: 


Simplifying
6(x + -4) + 12 + -2(2x + -6) = -13 + 2(3x + 4) + -6(x + -2) + 20

Reorder the terms:
6(-4 + x) + 12 + -2(2x + -6) = -13 + 2(3x + 4) + -6(x + -2) + 20
(-4 * 6 + x * 6) + 12 + -2(2x + -6) = -13 + 2(3x + 4) + -6(x + -2) + 20
(-24 + 6x) + 12 + -2(2x + -6) = -13 + 2(3x + 4) + -6(x + -2) + 20

Reorder the terms:
-24 + 6x + 12 + -2(-6 + 2x) = -13 + 2(3x + 4) + -6(x + -2) + 20
-24 + 6x + 12 + (-6 * -2 + 2x * -2) = -13 + 2(3x + 4) + -6(x + -2) + 20
-24 + 6x + 12 + (12 + -4x) = -13 + 2(3x + 4) + -6(x + -2) + 20

Reorder the terms:
-24 + 12 + 12 + 6x + -4x = -13 + 2(3x + 4) + -6(x + -2) + 20

Combine like terms: -24 + 12 = -12
-12 + 12 + 6x + -4x = -13 + 2(3x + 4) + -6(x + -2) + 20

Combine like terms: -12 + 12 = 0
0 + 6x + -4x = -13 + 2(3x + 4) + -6(x + -2) + 20
6x + -4x = -13 + 2(3x + 4) + -6(x + -2) + 20

Combine like terms: 6x + -4x = 2x
2x = -13 + 2(3x + 4) + -6(x + -2) + 20

Reorder the terms:
2x = -13 + 2(4 + 3x) + -6(x + -2) + 20
2x = -13 + (4 * 2 + 3x * 2) + -6(x + -2) + 20
2x = -13 + (8 + 6x) + -6(x + -2) + 20

Reorder the terms:
2x = -13 + 8 + 6x + -6(-2 + x) + 20
2x = -13 + 8 + 6x + (-2 * -6 + x * -6) + 20
2x = -13 + 8 + 6x + (12 + -6x) + 20

Reorder the terms:
2x = -13 + 8 + 12 + 20 + 6x + -6x

Combine like terms: -13 + 8 = -5
2x = -5 + 12 + 20 + 6x + -6x

Combine like terms: -5 + 12 = 7
2x = 7 + 20 + 6x + -6x

Combine like terms: 7 + 20 = 27
2x = 27 + 6x + -6x

Combine like terms: 6x + -6x = 0
2x = 27 + 0
2x = 27

Solving
2x = 27

Solving for variable 'x'.

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

Divide each side by '2'.
x = 13.5

Simplifying
x = 13.5

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