x(y+6)-(xy+4)=2(3x-2)

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Solution for x(y+6)-(xy+4)=2(3x-2) equation:


Simplifying
x(y + 6) + -1(xy + 4) = 2(3x + -2)

Reorder the terms:
x(6 + y) + -1(xy + 4) = 2(3x + -2)
(6 * x + y * x) + -1(xy + 4) = 2(3x + -2)
(6x + xy) + -1(xy + 4) = 2(3x + -2)

Reorder the terms:
6x + xy + -1(4 + xy) = 2(3x + -2)
6x + xy + (4 * -1 + xy * -1) = 2(3x + -2)
6x + xy + (-4 + -1xy) = 2(3x + -2)

Reorder the terms:
-4 + 6x + xy + -1xy = 2(3x + -2)

Combine like terms: xy + -1xy = 0
-4 + 6x + 0 = 2(3x + -2)
-4 + 6x = 2(3x + -2)

Reorder the terms:
-4 + 6x = 2(-2 + 3x)
-4 + 6x = (-2 * 2 + 3x * 2)
-4 + 6x = (-4 + 6x)

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

Combine like terms: -4 + 4 = 0
0 + 6x = -4 + 4 + 6x
6x = -4 + 4 + 6x

Combine like terms: -4 + 4 = 0
6x = 0 + 6x
6x = 6x

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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