2(12-x)-(x+3)=8(2-3x)-3(5-6x)

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Solution for 2(12-x)-(x+3)=8(2-3x)-3(5-6x) equation: 


Simplifying
2(12 + -1x) + -1(x + 3) = 8(2 + -3x) + -3(5 + -6x)
(12 * 2 + -1x * 2) + -1(x + 3) = 8(2 + -3x) + -3(5 + -6x)
(24 + -2x) + -1(x + 3) = 8(2 + -3x) + -3(5 + -6x)

Reorder the terms:
24 + -2x + -1(3 + x) = 8(2 + -3x) + -3(5 + -6x)
24 + -2x + (3 * -1 + x * -1) = 8(2 + -3x) + -3(5 + -6x)
24 + -2x + (-3 + -1x) = 8(2 + -3x) + -3(5 + -6x)

Reorder the terms:
24 + -3 + -2x + -1x = 8(2 + -3x) + -3(5 + -6x)

Combine like terms: 24 + -3 = 21
21 + -2x + -1x = 8(2 + -3x) + -3(5 + -6x)

Combine like terms: -2x + -1x = -3x
21 + -3x = 8(2 + -3x) + -3(5 + -6x)
21 + -3x = (2 * 8 + -3x * 8) + -3(5 + -6x)
21 + -3x = (16 + -24x) + -3(5 + -6x)
21 + -3x = 16 + -24x + (5 * -3 + -6x * -3)
21 + -3x = 16 + -24x + (-15 + 18x)

Reorder the terms:
21 + -3x = 16 + -15 + -24x + 18x

Combine like terms: 16 + -15 = 1
21 + -3x = 1 + -24x + 18x

Combine like terms: -24x + 18x = -6x
21 + -3x = 1 + -6x

Solving
21 + -3x = 1 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
21 + -3x + 6x = 1 + -6x + 6x

Combine like terms: -3x + 6x = 3x
21 + 3x = 1 + -6x + 6x

Combine like terms: -6x + 6x = 0
21 + 3x = 1 + 0
21 + 3x = 1

Add '-21' to each side of the equation.
21 + -21 + 3x = 1 + -21

Combine like terms: 21 + -21 = 0
0 + 3x = 1 + -21
3x = 1 + -21

Combine like terms: 1 + -21 = -20
3x = -20

Divide each side by '3'.
x = -6.666666667

Simplifying
x = -6.666666667

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