(y)5x+2=14-x(y)

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Solution for (y)5x+2=14-x(y) equation:


Simplifying
(y) * 5x + 2 = 14 + -1x(y)

Reorder the terms for easier multiplication:
5y * x + 2 = 14 + -1x(y)

Multiply y * x
5xy + 2 = 14 + -1x(y)

Reorder the terms:
2 + 5xy = 14 + -1x(y)

Multiply x * y
2 + 5xy = 14 + -1xy

Solving
2 + 5xy = 14 + -1xy

Solving for variable 'x'.

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

Add 'xy' to each side of the equation.
2 + 5xy + xy = 14 + -1xy + xy

Combine like terms: 5xy + xy = 6xy
2 + 6xy = 14 + -1xy + xy

Combine like terms: -1xy + xy = 0
2 + 6xy = 14 + 0
2 + 6xy = 14

Add '-2' to each side of the equation.
2 + -2 + 6xy = 14 + -2

Combine like terms: 2 + -2 = 0
0 + 6xy = 14 + -2
6xy = 14 + -2

Combine like terms: 14 + -2 = 12
6xy = 12

Divide each side by '6y'.
x = 2y-1

Simplifying
x = 2y-1

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