(x+8)*(y+4)=(x*y)+240

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Solution for (x+8)*(y+4)=(x*y)+240 equation: 


Simplifying
(x + 8)(y + 4) = (x * y) + 240

Reorder the terms:
(8 + x)(y + 4) = (x * y) + 240

Reorder the terms:
(8 + x)(4 + y) = (x * y) + 240

Multiply (8 + x) * (4 + y)
(8(4 + y) + x(4 + y)) = (x * y) + 240
((4 * 8 + y * 8) + x(4 + y)) = (x * y) + 240
((32 + 8y) + x(4 + y)) = (x * y) + 240
(32 + 8y + (4 * x + y * x)) = (x * y) + 240
(32 + 8y + (4x + xy)) = (x * y) + 240

Reorder the terms:
(32 + 4x + xy + 8y) = (x * y) + 240
(32 + 4x + xy + 8y) = (x * y) + 240

Multiply x * y
32 + 4x + xy + 8y = (xy) + 240
32 + 4x + xy + 8y = xy + 240

Reorder the terms:
32 + 4x + xy + 8y = 240 + xy

Add '-1xy' to each side of the equation.
32 + 4x + xy + -1xy + 8y = 240 + xy + -1xy

Combine like terms: xy + -1xy = 0
32 + 4x + 0 + 8y = 240 + xy + -1xy
32 + 4x + 8y = 240 + xy + -1xy

Combine like terms: xy + -1xy = 0
32 + 4x + 8y = 240 + 0
32 + 4x + 8y = 240

Solving
32 + 4x + 8y = 240

Solving for variable 'x'.

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

Add '-32' to each side of the equation.
32 + 4x + -32 + 8y = 240 + -32

Reorder the terms:
32 + -32 + 4x + 8y = 240 + -32

Combine like terms: 32 + -32 = 0
0 + 4x + 8y = 240 + -32
4x + 8y = 240 + -32

Combine like terms: 240 + -32 = 208
4x + 8y = 208

Add '-8y' to each side of the equation.
4x + 8y + -8y = 208 + -8y

Combine like terms: 8y + -8y = 0
4x + 0 = 208 + -8y
4x = 208 + -8y

Divide each side by '4'.
x = 52 + -2y

Simplifying
x = 52 + -2y

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