x-3y=7x-2y+2

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Solution for x-3y=7x-2y+2 equation:


Simplifying
x + -3y = 7x + -2y + 2

Reorder the terms:
x + -3y = 2 + 7x + -2y

Solving
x + -3y = 2 + 7x + -2y

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
x + -7x + -3y = 2 + 7x + -7x + -2y

Combine like terms: x + -7x = -6x
-6x + -3y = 2 + 7x + -7x + -2y

Combine like terms: 7x + -7x = 0
-6x + -3y = 2 + 0 + -2y
-6x + -3y = 2 + -2y

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

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

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

Divide each side by '-6'.
x = -0.3333333333 + -0.1666666667y

Simplifying
x = -0.3333333333 + -0.1666666667y

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