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

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


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

Reorder the terms:
8(-2 + x) + -4(3x + 1) + -2x = -3(2x + 8) + -4(x + -4)
(-2 * 8 + x * 8) + -4(3x + 1) + -2x = -3(2x + 8) + -4(x + -4)
(-16 + 8x) + -4(3x + 1) + -2x = -3(2x + 8) + -4(x + -4)

Reorder the terms:
-16 + 8x + -4(1 + 3x) + -2x = -3(2x + 8) + -4(x + -4)
-16 + 8x + (1 * -4 + 3x * -4) + -2x = -3(2x + 8) + -4(x + -4)
-16 + 8x + (-4 + -12x) + -2x = -3(2x + 8) + -4(x + -4)

Reorder the terms:
-16 + -4 + 8x + -12x + -2x = -3(2x + 8) + -4(x + -4)

Combine like terms: -16 + -4 = -20
-20 + 8x + -12x + -2x = -3(2x + 8) + -4(x + -4)

Combine like terms: 8x + -12x = -4x
-20 + -4x + -2x = -3(2x + 8) + -4(x + -4)

Combine like terms: -4x + -2x = -6x
-20 + -6x = -3(2x + 8) + -4(x + -4)

Reorder the terms:
-20 + -6x = -3(8 + 2x) + -4(x + -4)
-20 + -6x = (8 * -3 + 2x * -3) + -4(x + -4)
-20 + -6x = (-24 + -6x) + -4(x + -4)

Reorder the terms:
-20 + -6x = -24 + -6x + -4(-4 + x)
-20 + -6x = -24 + -6x + (-4 * -4 + x * -4)
-20 + -6x = -24 + -6x + (16 + -4x)

Reorder the terms:
-20 + -6x = -24 + 16 + -6x + -4x

Combine like terms: -24 + 16 = -8
-20 + -6x = -8 + -6x + -4x

Combine like terms: -6x + -4x = -10x
-20 + -6x = -8 + -10x

Solving
-20 + -6x = -8 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-20 + -6x + 10x = -8 + -10x + 10x

Combine like terms: -6x + 10x = 4x
-20 + 4x = -8 + -10x + 10x

Combine like terms: -10x + 10x = 0
-20 + 4x = -8 + 0
-20 + 4x = -8

Add '20' to each side of the equation.
-20 + 20 + 4x = -8 + 20

Combine like terms: -20 + 20 = 0
0 + 4x = -8 + 20
4x = -8 + 20

Combine like terms: -8 + 20 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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