x(y+3)-2=x(y+1)

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Solution for x(y+3)-2=x(y+1) equation:


Simplifying
x(y + 3) + -2 = x(y + 1)

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

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

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

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

Combine like terms: xy + -1xy = 0
-2 + 3x + 0 = 1x + xy + -1xy
-2 + 3x = 1x + xy + -1xy

Combine like terms: xy + -1xy = 0
-2 + 3x = 1x + 0
-2 + 3x = 1x

Solving
-2 + 3x = 1x

Solving for variable 'x'.

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

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

Combine like terms: 3x + -1x = 2x
-2 + 2x = 1x + -1x

Combine like terms: 1x + -1x = 0
-2 + 2x = 0

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

Combine like terms: -2 + 2 = 0
0 + 2x = 0 + 2
2x = 0 + 2

Combine like terms: 0 + 2 = 2
2x = 2

Divide each side by '2'.
x = 1

Simplifying
x = 1

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