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

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Solution for 2x-4(x-4)=-9+4x+1 equation: 


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

Reorder the terms:
2x + -4(-4 + x) = -9 + 4x + 1
2x + (-4 * -4 + x * -4) = -9 + 4x + 1
2x + (16 + -4x) = -9 + 4x + 1

Reorder the terms:
16 + 2x + -4x = -9 + 4x + 1

Combine like terms: 2x + -4x = -2x
16 + -2x = -9 + 4x + 1

Reorder the terms:
16 + -2x = -9 + 1 + 4x

Combine like terms: -9 + 1 = -8
16 + -2x = -8 + 4x

Solving
16 + -2x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
16 + -2x + -4x = -8 + 4x + -4x

Combine like terms: -2x + -4x = -6x
16 + -6x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
16 + -6x = -8 + 0
16 + -6x = -8

Add '-16' to each side of the equation.
16 + -16 + -6x = -8 + -16

Combine like terms: 16 + -16 = 0
0 + -6x = -8 + -16
-6x = -8 + -16

Combine like terms: -8 + -16 = -24
-6x = -24

Divide each side by '-6'.
x = 4

Simplifying
x = 4

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