2x-4(x-2)=-5+3x-22

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Solution for 2x-4(x-2)=-5+3x-22 equation: 


Simplifying
2x + -4(x + -2) = -5 + 3x + -22

Reorder the terms:
2x + -4(-2 + x) = -5 + 3x + -22
2x + (-2 * -4 + x * -4) = -5 + 3x + -22
2x + (8 + -4x) = -5 + 3x + -22

Reorder the terms:
8 + 2x + -4x = -5 + 3x + -22

Combine like terms: 2x + -4x = -2x
8 + -2x = -5 + 3x + -22

Reorder the terms:
8 + -2x = -5 + -22 + 3x

Combine like terms: -5 + -22 = -27
8 + -2x = -27 + 3x

Solving
8 + -2x = -27 + 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.
8 + -2x + -3x = -27 + 3x + -3x

Combine like terms: -2x + -3x = -5x
8 + -5x = -27 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + -5x = -27 + 0
8 + -5x = -27

Add '-8' to each side of the equation.
8 + -8 + -5x = -27 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = -27 + -8
-5x = -27 + -8

Combine like terms: -27 + -8 = -35
-5x = -35

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

Simplifying
x = 7

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