2x-4(x-4)=-5+3x-14

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Solution for 2x-4(x-4)=-5+3x-14 equation: 


Simplifying
2x + -4(x + -4) = -5 + 3x + -14

Reorder the terms:
2x + -4(-4 + x) = -5 + 3x + -14
2x + (-4 * -4 + x * -4) = -5 + 3x + -14
2x + (16 + -4x) = -5 + 3x + -14

Reorder the terms:
16 + 2x + -4x = -5 + 3x + -14

Combine like terms: 2x + -4x = -2x
16 + -2x = -5 + 3x + -14

Reorder the terms:
16 + -2x = -5 + -14 + 3x

Combine like terms: -5 + -14 = -19
16 + -2x = -19 + 3x

Solving
16 + -2x = -19 + 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 = -19 + 3x + -3x

Combine like terms: -2x + -3x = -5x
16 + -5x = -19 + 3x + -3x

Combine like terms: 3x + -3x = 0
16 + -5x = -19 + 0
16 + -5x = -19

Add '-16' to each side of the equation.
16 + -16 + -5x = -19 + -16

Combine like terms: 16 + -16 = 0
0 + -5x = -19 + -16
-5x = -19 + -16

Combine like terms: -19 + -16 = -35
-5x = -35

Divide each side by '-5'.
x = 7

Simplifying
x = 7

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