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

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


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

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

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

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

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

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

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

Solving
4 + 2x = 24 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
4 + 2x + -8x = 24 + 8x + -8x

Combine like terms: 2x + -8x = -6x
4 + -6x = 24 + 8x + -8x

Combine like terms: 8x + -8x = 0
4 + -6x = 24 + 0
4 + -6x = 24

Add '-4' to each side of the equation.
4 + -4 + -6x = 24 + -4

Combine like terms: 4 + -4 = 0
0 + -6x = 24 + -4
-6x = 24 + -4

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

Divide each side by '-6'.
x = -3.333333333

Simplifying
x = -3.333333333

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