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

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


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

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

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

Combine like terms: 2x + -4x = -2x
16 + -2x = -6 + 3x + -3

Reorder the terms:
16 + -2x = -6 + -3 + 3x

Combine like terms: -6 + -3 = -9
16 + -2x = -9 + 3x

Solving
16 + -2x = -9 + 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 = -9 + 3x + -3x

Combine like terms: -2x + -3x = -5x
16 + -5x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
16 + -5x = -9 + 0
16 + -5x = -9

Add '-16' to each side of the equation.
16 + -16 + -5x = -9 + -16

Combine like terms: 16 + -16 = 0
0 + -5x = -9 + -16
-5x = -9 + -16

Combine like terms: -9 + -16 = -25
-5x = -25

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

Simplifying
x = 5

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