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

Solution for 60=(x+5)(y-2) equation:

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

Reorder the terms:
60 = (5 + x)(y + -2)

Reorder the terms:
60 = (5 + x)(-2 + y)

Multiply (5 + x) * (-2 + y)
60 = (5(-2 + y) + x(-2 + y))
60 = ((-2 * 5 + y * 5) + x(-2 + y))
60 = ((-10 + 5y) + x(-2 + y))
60 = (-10 + 5y + (-2 * x + y * x))
60 = (-10 + 5y + (-2x + xy))

Reorder the terms:
60 = (-10 + -2x + xy + 5y)
60 = (-10 + -2x + xy + 5y)

Solving
60 = -10 + -2x + xy + 5y

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
60 + 2x = -10 + -2x + xy + 2x + 5y

Reorder the terms:
60 + 2x = -10 + -2x + 2x + xy + 5y

Combine like terms: -2x + 2x = 0
60 + 2x = -10 + 0 + xy + 5y
60 + 2x = -10 + xy + 5y

Add '-1xy' to each side of the equation.
60 + 2x + -1xy = -10 + xy + -1xy + 5y

Combine like terms: xy + -1xy = 0
60 + 2x + -1xy = -10 + 0 + 5y
60 + 2x + -1xy = -10 + 5y

Add '-60' to each side of the equation.
60 + 2x + -60 + -1xy = -10 + -60 + 5y

Reorder the terms:
60 + -60 + 2x + -1xy = -10 + -60 + 5y

Combine like terms: 60 + -60 = 0
0 + 2x + -1xy = -10 + -60 + 5y
2x + -1xy = -10 + -60 + 5y

Combine like terms: -10 + -60 = -70
2x + -1xy = -70 + 5y

Reorder the terms:
70 + 2x + -1xy + -5y = -70 + 5y + 70 + -5y

Reorder the terms:
70 + 2x + -1xy + -5y = -70 + 70 + 5y + -5y

Combine like terms: -70 + 70 = 0
70 + 2x + -1xy + -5y = 0 + 5y + -5y
70 + 2x + -1xy + -5y = 5y + -5y

Combine like terms: 5y + -5y = 0
70 + 2x + -1xy + -5y = 0

The solution to this equation could not be determined.