3x-8(3x-4)=31+6(1-6x)-(3-8x)2

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Solution for 3x-8(3x-4)=31+6(1-6x)-(3-8x)2 equation: 


Simplifying
3x + -8(3x + -4) = 31 + 6(1 + -6x) + -1(3 + -8x) * 2

Reorder the terms:
3x + -8(-4 + 3x) = 31 + 6(1 + -6x) + -1(3 + -8x) * 2
3x + (-4 * -8 + 3x * -8) = 31 + 6(1 + -6x) + -1(3 + -8x) * 2
3x + (32 + -24x) = 31 + 6(1 + -6x) + -1(3 + -8x) * 2

Reorder the terms:
32 + 3x + -24x = 31 + 6(1 + -6x) + -1(3 + -8x) * 2

Combine like terms: 3x + -24x = -21x
32 + -21x = 31 + 6(1 + -6x) + -1(3 + -8x) * 2
32 + -21x = 31 + (1 * 6 + -6x * 6) + -1(3 + -8x) * 2
32 + -21x = 31 + (6 + -36x) + -1(3 + -8x) * 2

Reorder the terms for easier multiplication:
32 + -21x = 31 + 6 + -36x + -1 * 2(3 + -8x)

Multiply -1 * 2
32 + -21x = 31 + 6 + -36x + -2(3 + -8x)
32 + -21x = 31 + 6 + -36x + (3 * -2 + -8x * -2)
32 + -21x = 31 + 6 + -36x + (-6 + 16x)

Reorder the terms:
32 + -21x = 31 + 6 + -6 + -36x + 16x

Combine like terms: 31 + 6 = 37
32 + -21x = 37 + -6 + -36x + 16x

Combine like terms: 37 + -6 = 31
32 + -21x = 31 + -36x + 16x

Combine like terms: -36x + 16x = -20x
32 + -21x = 31 + -20x

Solving
32 + -21x = 31 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
32 + -21x + 20x = 31 + -20x + 20x

Combine like terms: -21x + 20x = -1x
32 + -1x = 31 + -20x + 20x

Combine like terms: -20x + 20x = 0
32 + -1x = 31 + 0
32 + -1x = 31

Add '-32' to each side of the equation.
32 + -32 + -1x = 31 + -32

Combine like terms: 32 + -32 = 0
0 + -1x = 31 + -32
-1x = 31 + -32

Combine like terms: 31 + -32 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1

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