2x-4(x-2)=-3+4x-13

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Solution for 2x-4(x-2)=-3+4x-13 equation: 


Simplifying
2x + -4(x + -2) = -3 + 4x + -13

Reorder the terms:
2x + -4(-2 + x) = -3 + 4x + -13
2x + (-2 * -4 + x * -4) = -3 + 4x + -13
2x + (8 + -4x) = -3 + 4x + -13

Reorder the terms:
8 + 2x + -4x = -3 + 4x + -13

Combine like terms: 2x + -4x = -2x
8 + -2x = -3 + 4x + -13

Reorder the terms:
8 + -2x = -3 + -13 + 4x

Combine like terms: -3 + -13 = -16
8 + -2x = -16 + 4x

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

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

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

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

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

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

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

Simplifying
x = 4

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