x+7=2x(y-7)

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Solution for x+7=2x(y-7) equation:


Simplifying
x + 7 = 2x(y + -7)

Reorder the terms:
7 + x = 2x(y + -7)

Reorder the terms:
7 + x = 2x(-7 + y)
7 + x = (-7 * 2x + y * 2x)
7 + x = (-14x + 2xy)

Solving
7 + x = -14x + 2xy

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
7 + x + 14x = -14x + 14x + 2xy

Combine like terms: x + 14x = 15x
7 + 15x = -14x + 14x + 2xy

Combine like terms: -14x + 14x = 0
7 + 15x = 0 + 2xy
7 + 15x = 2xy

Add '-2xy' to each side of the equation.
7 + 15x + -2xy = 2xy + -2xy

Combine like terms: 2xy + -2xy = 0
7 + 15x + -2xy = 0

Add '-7' to each side of the equation.
7 + 15x + -7 + -2xy = 0 + -7

Reorder the terms:
7 + -7 + 15x + -2xy = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 15x + -2xy = 0 + -7
15x + -2xy = 0 + -7

Combine like terms: 0 + -7 = -7
15x + -2xy = -7

Reorder the terms:
7 + 15x + -2xy = -7 + 7

Combine like terms: -7 + 7 = 0
7 + 15x + -2xy = 0

The solution to this equation could not be determined.

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