2x-4(x-2)=-7+5x-27

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Solution for 2x-4(x-2)=-7+5x-27 equation: 


Simplifying
2x + -4(x + -2) = -7 + 5x + -27

Reorder the terms:
2x + -4(-2 + x) = -7 + 5x + -27
2x + (-2 * -4 + x * -4) = -7 + 5x + -27
2x + (8 + -4x) = -7 + 5x + -27

Reorder the terms:
8 + 2x + -4x = -7 + 5x + -27

Combine like terms: 2x + -4x = -2x
8 + -2x = -7 + 5x + -27

Reorder the terms:
8 + -2x = -7 + -27 + 5x

Combine like terms: -7 + -27 = -34
8 + -2x = -34 + 5x

Solving
8 + -2x = -34 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
8 + -2x + -5x = -34 + 5x + -5x

Combine like terms: -2x + -5x = -7x
8 + -7x = -34 + 5x + -5x

Combine like terms: 5x + -5x = 0
8 + -7x = -34 + 0
8 + -7x = -34

Add '-8' to each side of the equation.
8 + -8 + -7x = -34 + -8

Combine like terms: 8 + -8 = 0
0 + -7x = -34 + -8
-7x = -34 + -8

Combine like terms: -34 + -8 = -42
-7x = -42

Divide each side by '-7'.
x = 6

Simplifying
x = 6

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