2x-4(x-2)=-5+2x-11

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Solution for 2x-4(x-2)=-5+2x-11 equation: 


Simplifying
2x + -4(x + -2) = -5 + 2x + -11

Reorder the terms:
2x + -4(-2 + x) = -5 + 2x + -11
2x + (-2 * -4 + x * -4) = -5 + 2x + -11
2x + (8 + -4x) = -5 + 2x + -11

Reorder the terms:
8 + 2x + -4x = -5 + 2x + -11

Combine like terms: 2x + -4x = -2x
8 + -2x = -5 + 2x + -11

Reorder the terms:
8 + -2x = -5 + -11 + 2x

Combine like terms: -5 + -11 = -16
8 + -2x = -16 + 2x

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

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

Combine like terms: 2x + -2x = 0
8 + -4x = -16 + 0
8 + -4x = -16

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

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

Combine like terms: -16 + -8 = -24
-4x = -24

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

Simplifying
x = 6

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