3x+y=5x-9y-16

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Solution for 3x+y=5x-9y-16 equation:


Simplifying
3x + y = 5x + -9y + -16

Reorder the terms:
3x + y = -16 + 5x + -9y

Solving
3x + y = -16 + 5x + -9y

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.
3x + -5x + y = -16 + 5x + -5x + -9y

Combine like terms: 3x + -5x = -2x
-2x + y = -16 + 5x + -5x + -9y

Combine like terms: 5x + -5x = 0
-2x + y = -16 + 0 + -9y
-2x + y = -16 + -9y

Add '-1y' to each side of the equation.
-2x + y + -1y = -16 + -9y + -1y

Combine like terms: y + -1y = 0
-2x + 0 = -16 + -9y + -1y
-2x = -16 + -9y + -1y

Combine like terms: -9y + -1y = -10y
-2x = -16 + -10y

Divide each side by '-2'.
x = 8 + 5y

Simplifying
x = 8 + 5y

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