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

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


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

Reorder the terms:
2x + -4(-4 + x) = -9 + 2x + -3
2x + (-4 * -4 + x * -4) = -9 + 2x + -3
2x + (16 + -4x) = -9 + 2x + -3

Reorder the terms:
16 + 2x + -4x = -9 + 2x + -3

Combine like terms: 2x + -4x = -2x
16 + -2x = -9 + 2x + -3

Reorder the terms:
16 + -2x = -9 + -3 + 2x

Combine like terms: -9 + -3 = -12
16 + -2x = -12 + 2x

Solving
16 + -2x = -12 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
16 + -2x + -2x = -12 + 2x + -2x

Combine like terms: -2x + -2x = -4x
16 + -4x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
16 + -4x = -12 + 0
16 + -4x = -12

Add '-16' to each side of the equation.
16 + -16 + -4x = -12 + -16

Combine like terms: 16 + -16 = 0
0 + -4x = -12 + -16
-4x = -12 + -16

Combine like terms: -12 + -16 = -28
-4x = -28

Divide each side by '-4'.
x = 7

Simplifying
x = 7

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