9-2(x-3)+2x+3(2-4x)=-8x+2(3x-1)

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Solution for 9-2(x-3)+2x+3(2-4x)=-8x+2(3x-1) equation:


Simplifying
9 + -2(x + -3) + 2x + 3(2 + -4x) = -8x + 2(3x + -1)

Reorder the terms:
9 + -2(-3 + x) + 2x + 3(2 + -4x) = -8x + 2(3x + -1)
9 + (-3 * -2 + x * -2) + 2x + 3(2 + -4x) = -8x + 2(3x + -1)
9 + (6 + -2x) + 2x + 3(2 + -4x) = -8x + 2(3x + -1)
9 + 6 + -2x + 2x + (2 * 3 + -4x * 3) = -8x + 2(3x + -1)
9 + 6 + -2x + 2x + (6 + -12x) = -8x + 2(3x + -1)

Reorder the terms:
9 + 6 + 6 + -2x + 2x + -12x = -8x + 2(3x + -1)

Combine like terms: 9 + 6 = 15
15 + 6 + -2x + 2x + -12x = -8x + 2(3x + -1)

Combine like terms: 15 + 6 = 21
21 + -2x + 2x + -12x = -8x + 2(3x + -1)

Combine like terms: -2x + 2x = 0
21 + 0 + -12x = -8x + 2(3x + -1)
21 + -12x = -8x + 2(3x + -1)

Reorder the terms:
21 + -12x = -8x + 2(-1 + 3x)
21 + -12x = -8x + (-1 * 2 + 3x * 2)
21 + -12x = -8x + (-2 + 6x)

Reorder the terms:
21 + -12x = -2 + -8x + 6x

Combine like terms: -8x + 6x = -2x
21 + -12x = -2 + -2x

Solving
21 + -12x = -2 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
21 + -12x + 2x = -2 + -2x + 2x

Combine like terms: -12x + 2x = -10x
21 + -10x = -2 + -2x + 2x

Combine like terms: -2x + 2x = 0
21 + -10x = -2 + 0
21 + -10x = -2

Add '-21' to each side of the equation.
21 + -21 + -10x = -2 + -21

Combine like terms: 21 + -21 = 0
0 + -10x = -2 + -21
-10x = -2 + -21

Combine like terms: -2 + -21 = -23
-10x = -23

Divide each side by '-10'.
x = 2.3

Simplifying
x = 2.3

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