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

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


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

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

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

Combine like terms: 3x + -4x = -1x
2(8 + -1x) = 3(x + -8)
(8 * 2 + -1x * 2) = 3(x + -8)
(16 + -2x) = 3(x + -8)

Reorder the terms:
16 + -2x = 3(-8 + x)
16 + -2x = (-8 * 3 + x * 3)
16 + -2x = (-24 + 3x)

Solving
16 + -2x = -24 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
16 + -2x + -3x = -24 + 3x + -3x

Combine like terms: -2x + -3x = -5x
16 + -5x = -24 + 3x + -3x

Combine like terms: 3x + -3x = 0
16 + -5x = -24 + 0
16 + -5x = -24

Add '-16' to each side of the equation.
16 + -16 + -5x = -24 + -16

Combine like terms: 16 + -16 = 0
0 + -5x = -24 + -16
-5x = -24 + -16

Combine like terms: -24 + -16 = -40
-5x = -40

Divide each side by '-5'.
x = 8

Simplifying
x = 8

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