2x-3(4x-9)=-4(4-x)-4x

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Solution for 2x-3(4x-9)=-4(4-x)-4x equation: 


Simplifying
2x + -3(4x + -9) = -4(4 + -1x) + -4x

Reorder the terms:
2x + -3(-9 + 4x) = -4(4 + -1x) + -4x
2x + (-9 * -3 + 4x * -3) = -4(4 + -1x) + -4x
2x + (27 + -12x) = -4(4 + -1x) + -4x

Reorder the terms:
27 + 2x + -12x = -4(4 + -1x) + -4x

Combine like terms: 2x + -12x = -10x
27 + -10x = -4(4 + -1x) + -4x
27 + -10x = (4 * -4 + -1x * -4) + -4x
27 + -10x = (-16 + 4x) + -4x

Combine like terms: 4x + -4x = 0
27 + -10x = -16 + 0
27 + -10x = -16

Solving
27 + -10x = -16

Solving for variable 'x'.

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

Add '-27' to each side of the equation.
27 + -27 + -10x = -16 + -27

Combine like terms: 27 + -27 = 0
0 + -10x = -16 + -27
-10x = -16 + -27

Combine like terms: -16 + -27 = -43
-10x = -43

Divide each side by '-10'.
x = 4.3

Simplifying
x = 4.3

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