4(1-2x)-(5x+1)=8+3(x-3)+12(2-3x)

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Solution for 4(1-2x)-(5x+1)=8+3(x-3)+12(2-3x) equation: 


Simplifying
4(1 + -2x) + -1(5x + 1) = 8 + 3(x + -3) + 12(2 + -3x)
(1 * 4 + -2x * 4) + -1(5x + 1) = 8 + 3(x + -3) + 12(2 + -3x)
(4 + -8x) + -1(5x + 1) = 8 + 3(x + -3) + 12(2 + -3x)

Reorder the terms:
4 + -8x + -1(1 + 5x) = 8 + 3(x + -3) + 12(2 + -3x)
4 + -8x + (1 * -1 + 5x * -1) = 8 + 3(x + -3) + 12(2 + -3x)
4 + -8x + (-1 + -5x) = 8 + 3(x + -3) + 12(2 + -3x)

Reorder the terms:
4 + -1 + -8x + -5x = 8 + 3(x + -3) + 12(2 + -3x)

Combine like terms: 4 + -1 = 3
3 + -8x + -5x = 8 + 3(x + -3) + 12(2 + -3x)

Combine like terms: -8x + -5x = -13x
3 + -13x = 8 + 3(x + -3) + 12(2 + -3x)

Reorder the terms:
3 + -13x = 8 + 3(-3 + x) + 12(2 + -3x)
3 + -13x = 8 + (-3 * 3 + x * 3) + 12(2 + -3x)
3 + -13x = 8 + (-9 + 3x) + 12(2 + -3x)
3 + -13x = 8 + -9 + 3x + (2 * 12 + -3x * 12)
3 + -13x = 8 + -9 + 3x + (24 + -36x)

Reorder the terms:
3 + -13x = 8 + -9 + 24 + 3x + -36x

Combine like terms: 8 + -9 = -1
3 + -13x = -1 + 24 + 3x + -36x

Combine like terms: -1 + 24 = 23
3 + -13x = 23 + 3x + -36x

Combine like terms: 3x + -36x = -33x
3 + -13x = 23 + -33x

Solving
3 + -13x = 23 + -33x

Solving for variable 'x'.

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

Add '33x' to each side of the equation.
3 + -13x + 33x = 23 + -33x + 33x

Combine like terms: -13x + 33x = 20x
3 + 20x = 23 + -33x + 33x

Combine like terms: -33x + 33x = 0
3 + 20x = 23 + 0
3 + 20x = 23

Add '-3' to each side of the equation.
3 + -3 + 20x = 23 + -3

Combine like terms: 3 + -3 = 0
0 + 20x = 23 + -3
20x = 23 + -3

Combine like terms: 23 + -3 = 20
20x = 20

Divide each side by '20'.
x = 1

Simplifying
x = 1

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