y(2-x)+3(x+5)=-7x

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Solution for y(2-x)+3(x+5)=-7x equation: 


Simplifying
y(2 + -1x) + 3(x + 5) = -7x
(2 * y + -1x * y) + 3(x + 5) = -7x

Reorder the terms:
(-1xy + 2y) + 3(x + 5) = -7x
(-1xy + 2y) + 3(x + 5) = -7x

Reorder the terms:
-1xy + 2y + 3(5 + x) = -7x
-1xy + 2y + (5 * 3 + x * 3) = -7x
-1xy + 2y + (15 + 3x) = -7x

Reorder the terms:
15 + 3x + -1xy + 2y = -7x

Solving
15 + 3x + -1xy + 2y = -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
15 + 3x + -1xy + 7x + 2y = -7x + 7x

Reorder the terms:
15 + 3x + 7x + -1xy + 2y = -7x + 7x

Combine like terms: 3x + 7x = 10x
15 + 10x + -1xy + 2y = -7x + 7x

Combine like terms: -7x + 7x = 0
15 + 10x + -1xy + 2y = 0

Add '-15' to each side of the equation.
15 + 10x + -1xy + -15 + 2y = 0 + -15

Reorder the terms:
15 + -15 + 10x + -1xy + 2y = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 10x + -1xy + 2y = 0 + -15
10x + -1xy + 2y = 0 + -15

Combine like terms: 0 + -15 = -15
10x + -1xy + 2y = -15

Add '-2y' to each side of the equation.
10x + -1xy + 2y + -2y = -15 + -2y

Combine like terms: 2y + -2y = 0
10x + -1xy + 0 = -15 + -2y
10x + -1xy = -15 + -2y

Reorder the terms:
15 + 10x + -1xy + 2y = -15 + -2y + 15 + 2y

Reorder the terms:
15 + 10x + -1xy + 2y = -15 + 15 + -2y + 2y

Combine like terms: -15 + 15 = 0
15 + 10x + -1xy + 2y = 0 + -2y + 2y
15 + 10x + -1xy + 2y = -2y + 2y

Combine like terms: -2y + 2y = 0
15 + 10x + -1xy + 2y = 0

The solution to this equation could not be determined.

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