x-5x+8=2x-9

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Solution for x-5x+8=2x-9 equation: 


Simplifying
x + -5x + 8 = 2x + -9

Reorder the terms:
8 + x + -5x = 2x + -9

Combine like terms: x + -5x = -4x
8 + -4x = 2x + -9

Reorder the terms:
8 + -4x = -9 + 2x

Solving
8 + -4x = -9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
8 + -4x + -2x = -9 + 2x + -2x

Combine like terms: -4x + -2x = -6x
8 + -6x = -9 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + -6x = -9 + 0
8 + -6x = -9

Add '-8' to each side of the equation.
8 + -8 + -6x = -9 + -8

Combine like terms: 8 + -8 = 0
0 + -6x = -9 + -8
-6x = -9 + -8

Combine like terms: -9 + -8 = -17
-6x = -17

Divide each side by '-6'.
x = 2.833333333

Simplifying
x = 2.833333333

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