x-4=5x(y-2)

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Solution for x-4=5x(y-2) equation:


Simplifying
x + -4 = 5x(y + -2)

Reorder the terms:
-4 + x = 5x(y + -2)

Reorder the terms:
-4 + x = 5x(-2 + y)
-4 + x = (-2 * 5x + y * 5x)
-4 + x = (-10x + 5xy)

Solving
-4 + x = -10x + 5xy

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-4 + x + 10x = -10x + 10x + 5xy

Combine like terms: x + 10x = 11x
-4 + 11x = -10x + 10x + 5xy

Combine like terms: -10x + 10x = 0
-4 + 11x = 0 + 5xy
-4 + 11x = 5xy

Add '-5xy' to each side of the equation.
-4 + 11x + -5xy = 5xy + -5xy

Combine like terms: 5xy + -5xy = 0
-4 + 11x + -5xy = 0

Add '4' to each side of the equation.
-4 + 11x + 4 + -5xy = 0 + 4

Reorder the terms:
-4 + 4 + 11x + -5xy = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 11x + -5xy = 0 + 4
11x + -5xy = 0 + 4

Combine like terms: 0 + 4 = 4
11x + -5xy = 4

Reorder the terms:
-4 + 11x + -5xy = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 11x + -5xy = 0

The solution to this equation could not be determined.

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