4x+6=x-2y

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Solution for 4x+6=x-2y equation:


Simplifying
4x + 6 = x + -2y

Reorder the terms:
6 + 4x = x + -2y

Solving
6 + 4x = x + -2y

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + 4x + -1x = x + -1x + -2y

Combine like terms: 4x + -1x = 3x
6 + 3x = x + -1x + -2y

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

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

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

Divide each side by '3'.
x = -2 + -0.6666666667y

Simplifying
x = -2 + -0.6666666667y

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