2y+x=3x-y-6

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Solution for 2y+x=3x-y-6 equation:


Simplifying
2y + x = 3x + -1y + -6

Reorder the terms:
x + 2y = 3x + -1y + -6

Reorder the terms:
x + 2y = -6 + 3x + -1y

Solving
x + 2y = -6 + 3x + -1y

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
x + -3x + 2y = -6 + 3x + -3x + -1y

Combine like terms: x + -3x = -2x
-2x + 2y = -6 + 3x + -3x + -1y

Combine like terms: 3x + -3x = 0
-2x + 2y = -6 + 0 + -1y
-2x + 2y = -6 + -1y

Add '-2y' to each side of the equation.
-2x + 2y + -2y = -6 + -1y + -2y

Combine like terms: 2y + -2y = 0
-2x + 0 = -6 + -1y + -2y
-2x = -6 + -1y + -2y

Combine like terms: -1y + -2y = -3y
-2x = -6 + -3y

Divide each side by '-2'.
x = 3 + 1.5y

Simplifying
x = 3 + 1.5y

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