2y+x=9x-5y-4

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Solution for 2y+x=9x-5y-4 equation: 


Simplifying
2y + x = 9x + -5y + -4

Reorder the terms:
x + 2y = 9x + -5y + -4

Reorder the terms:
x + 2y = -4 + 9x + -5y

Solving
x + 2y = -4 + 9x + -5y

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
x + -9x + 2y = -4 + 9x + -9x + -5y

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

Combine like terms: 9x + -9x = 0
-8x + 2y = -4 + 0 + -5y
-8x + 2y = -4 + -5y

Add '-2y' to each side of the equation.
-8x + 2y + -2y = -4 + -5y + -2y

Combine like terms: 2y + -2y = 0
-8x + 0 = -4 + -5y + -2y
-8x = -4 + -5y + -2y

Combine like terms: -5y + -2y = -7y
-8x = -4 + -7y

Divide each side by '-8'.
x = 0.5 + 0.875y

Simplifying
x = 0.5 + 0.875y

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