3(2-4x)=8x-(x-2)-15+2(x-1)

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Solution for 3(2-4x)=8x-(x-2)-15+2(x-1) equation: 


Simplifying
3(2 + -4x) = 8x + -1(x + -2) + -15 + 2(x + -1)
(2 * 3 + -4x * 3) = 8x + -1(x + -2) + -15 + 2(x + -1)
(6 + -12x) = 8x + -1(x + -2) + -15 + 2(x + -1)

Reorder the terms:
6 + -12x = 8x + -1(-2 + x) + -15 + 2(x + -1)
6 + -12x = 8x + (-2 * -1 + x * -1) + -15 + 2(x + -1)
6 + -12x = 8x + (2 + -1x) + -15 + 2(x + -1)

Reorder the terms:
6 + -12x = 8x + 2 + -1x + -15 + 2(-1 + x)
6 + -12x = 8x + 2 + -1x + -15 + (-1 * 2 + x * 2)
6 + -12x = 8x + 2 + -1x + -15 + (-2 + 2x)

Reorder the terms:
6 + -12x = 2 + -15 + -2 + 8x + -1x + 2x

Combine like terms: 2 + -15 = -13
6 + -12x = -13 + -2 + 8x + -1x + 2x

Combine like terms: -13 + -2 = -15
6 + -12x = -15 + 8x + -1x + 2x

Combine like terms: 8x + -1x = 7x
6 + -12x = -15 + 7x + 2x

Combine like terms: 7x + 2x = 9x
6 + -12x = -15 + 9x

Solving
6 + -12x = -15 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
6 + -12x + -9x = -15 + 9x + -9x

Combine like terms: -12x + -9x = -21x
6 + -21x = -15 + 9x + -9x

Combine like terms: 9x + -9x = 0
6 + -21x = -15 + 0
6 + -21x = -15

Add '-6' to each side of the equation.
6 + -6 + -21x = -15 + -6

Combine like terms: 6 + -6 = 0
0 + -21x = -15 + -6
-21x = -15 + -6

Combine like terms: -15 + -6 = -21
-21x = -21

Divide each side by '-21'.
x = 1

Simplifying
x = 1

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