x-2x+4=5x-4x-8

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Solution for x-2x+4=5x-4x-8 equation:


Simplifying
x + -2x + 4 = 5x + -4x + -8

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

Combine like terms: x + -2x = -1x
4 + -1x = 5x + -4x + -8

Reorder the terms:
4 + -1x = -8 + 5x + -4x

Combine like terms: 5x + -4x = 1x
4 + -1x = -8 + 1x

Solving
4 + -1x = -8 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
4 + -1x + -1x = -8 + 1x + -1x

Combine like terms: -1x + -1x = -2x
4 + -2x = -8 + 1x + -1x

Combine like terms: 1x + -1x = 0
4 + -2x = -8 + 0
4 + -2x = -8

Add '-4' to each side of the equation.
4 + -4 + -2x = -8 + -4

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

Combine like terms: -8 + -4 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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