4(x+3)=y(2+x)

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


Simplifying
4(x + 3) = y(2 + x)

Reorder the terms:
4(3 + x) = y(2 + x)
(3 * 4 + x * 4) = y(2 + x)
(12 + 4x) = y(2 + x)
12 + 4x = (2 * y + x * y)

Reorder the terms:
12 + 4x = (xy + 2y)
12 + 4x = (xy + 2y)

Solving
12 + 4x = xy + 2y

Solving for variable 'x'.

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

Add '-1xy' to each side of the equation.
12 + 4x + -1xy = xy + -1xy + 2y

Combine like terms: xy + -1xy = 0
12 + 4x + -1xy = 0 + 2y
12 + 4x + -1xy = 2y

Add '-12' to each side of the equation.
12 + 4x + -12 + -1xy = -12 + 2y

Reorder the terms:
12 + -12 + 4x + -1xy = -12 + 2y

Combine like terms: 12 + -12 = 0
0 + 4x + -1xy = -12 + 2y
4x + -1xy = -12 + 2y

Reorder the terms:
12 + 4x + -1xy + -2y = -12 + 2y + 12 + -2y

Reorder the terms:
12 + 4x + -1xy + -2y = -12 + 12 + 2y + -2y

Combine like terms: -12 + 12 = 0
12 + 4x + -1xy + -2y = 0 + 2y + -2y
12 + 4x + -1xy + -2y = 2y + -2y

Combine like terms: 2y + -2y = 0
12 + 4x + -1xy + -2y = 0

The solution to this equation could not be determined.

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