(4x-6)=(x+6y)

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Solution for (4x-6)=(x+6y) equation:


Simplifying
(4x + -6) = (x + 6y)

Reorder the terms:
(-6 + 4x) = (x + 6y)

Remove parenthesis around (-6 + 4x)
-6 + 4x = (x + 6y)

Remove parenthesis around (x + 6y)
-6 + 4x = x + 6y

Solving
-6 + 4x = x + 6y

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 + 6y

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

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

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

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

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

Simplifying
x = 2 + 2y

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