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

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


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

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

Combine like terms: -24x + -3x = -27x
6 + -27x = -6x + -3(8x + -4)

Reorder the terms:
6 + -27x = -6x + -3(-4 + 8x)
6 + -27x = -6x + (-4 * -3 + 8x * -3)
6 + -27x = -6x + (12 + -24x)

Reorder the terms:
6 + -27x = 12 + -6x + -24x

Combine like terms: -6x + -24x = -30x
6 + -27x = 12 + -30x

Solving
6 + -27x = 12 + -30x

Solving for variable 'x'.

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

Add '30x' to each side of the equation.
6 + -27x + 30x = 12 + -30x + 30x

Combine like terms: -27x + 30x = 3x
6 + 3x = 12 + -30x + 30x

Combine like terms: -30x + 30x = 0
6 + 3x = 12 + 0
6 + 3x = 12

Add '-6' to each side of the equation.
6 + -6 + 3x = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = 12 + -6
3x = 12 + -6

Combine like terms: 12 + -6 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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