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

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


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

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

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

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

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

Combine like terms: -4 + -13 = -17
8 + -2x = -17 + 3x

Solving
8 + -2x = -17 + 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 = -17 + 3x + -3x

Combine like terms: -2x + -3x = -5x
8 + -5x = -17 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + -5x = -17 + 0
8 + -5x = -17

Add '-8' to each side of the equation.
8 + -8 + -5x = -17 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = -17 + -8
-5x = -17 + -8

Combine like terms: -17 + -8 = -25
-5x = -25

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

Simplifying
x = 5

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