2x-4(x-2)=-3+5x-17

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Solution for 2x-4(x-2)=-3+5x-17 equation: 


Simplifying
2x + -4(x + -2) = -3 + 5x + -17

Reorder the terms:
2x + -4(-2 + x) = -3 + 5x + -17
2x + (-2 * -4 + x * -4) = -3 + 5x + -17
2x + (8 + -4x) = -3 + 5x + -17

Reorder the terms:
8 + 2x + -4x = -3 + 5x + -17

Combine like terms: 2x + -4x = -2x
8 + -2x = -3 + 5x + -17

Reorder the terms:
8 + -2x = -3 + -17 + 5x

Combine like terms: -3 + -17 = -20
8 + -2x = -20 + 5x

Solving
8 + -2x = -20 + 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 = -20 + 5x + -5x

Combine like terms: -2x + -5x = -7x
8 + -7x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
8 + -7x = -20 + 0
8 + -7x = -20

Add '-8' to each side of the equation.
8 + -8 + -7x = -20 + -8

Combine like terms: 8 + -8 = 0
0 + -7x = -20 + -8
-7x = -20 + -8

Combine like terms: -20 + -8 = -28
-7x = -28

Divide each side by '-7'.
x = 4

Simplifying
x = 4

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