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

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


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

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

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

Combine like terms: -12 + -4 = -16
3x + 4(2x + -1(-16 + 6x)) = 2(x + -1)
3x + 4(2x + (-16 * -1 + 6x * -1)) = 2(x + -1)
3x + 4(2x + (16 + -6x)) = 2(x + -1)

Reorder the terms:
3x + 4(16 + 2x + -6x) = 2(x + -1)

Combine like terms: 2x + -6x = -4x
3x + 4(16 + -4x) = 2(x + -1)
3x + (16 * 4 + -4x * 4) = 2(x + -1)
3x + (64 + -16x) = 2(x + -1)

Reorder the terms:
64 + 3x + -16x = 2(x + -1)

Combine like terms: 3x + -16x = -13x
64 + -13x = 2(x + -1)

Reorder the terms:
64 + -13x = 2(-1 + x)
64 + -13x = (-1 * 2 + x * 2)
64 + -13x = (-2 + 2x)

Solving
64 + -13x = -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.
64 + -13x + -2x = -2 + 2x + -2x

Combine like terms: -13x + -2x = -15x
64 + -15x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
64 + -15x = -2 + 0
64 + -15x = -2

Add '-64' to each side of the equation.
64 + -64 + -15x = -2 + -64

Combine like terms: 64 + -64 = 0
0 + -15x = -2 + -64
-15x = -2 + -64

Combine like terms: -2 + -64 = -66
-15x = -66

Divide each side by '-15'.
x = 4.4

Simplifying
x = 4.4

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