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

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


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

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

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

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

Combine like terms: 3x + 8x = 11x
-2 + 11x = (x + -4) * 2 + -3(5 + -1x)

Reorder the terms:
-2 + 11x = (-4 + x) * 2 + -3(5 + -1x)

Reorder the terms for easier multiplication:
-2 + 11x = 2(-4 + x) + -3(5 + -1x)
-2 + 11x = (-4 * 2 + x * 2) + -3(5 + -1x)
-2 + 11x = (-8 + 2x) + -3(5 + -1x)
-2 + 11x = -8 + 2x + (5 * -3 + -1x * -3)
-2 + 11x = -8 + 2x + (-15 + 3x)

Reorder the terms:
-2 + 11x = -8 + -15 + 2x + 3x

Combine like terms: -8 + -15 = -23
-2 + 11x = -23 + 2x + 3x

Combine like terms: 2x + 3x = 5x
-2 + 11x = -23 + 5x

Solving
-2 + 11x = -23 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-2 + 11x + -5x = -23 + 5x + -5x

Combine like terms: 11x + -5x = 6x
-2 + 6x = -23 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + 6x = -23 + 0
-2 + 6x = -23

Add '2' to each side of the equation.
-2 + 2 + 6x = -23 + 2

Combine like terms: -2 + 2 = 0
0 + 6x = -23 + 2
6x = -23 + 2

Combine like terms: -23 + 2 = -21
6x = -21

Divide each side by '6'.
x = -3.5

Simplifying
x = -3.5

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