10x(y+5)=7-10y(12-x)

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Solution for 10x(y+5)=7-10y(12-x) equation: 


Simplifying
10x(y + 5) = 7 + -10y(12 + -1x)

Reorder the terms:
10x(5 + y) = 7 + -10y(12 + -1x)
(5 * 10x + y * 10x) = 7 + -10y(12 + -1x)
(50x + 10xy) = 7 + -10y(12 + -1x)
50x + 10xy = 7 + (12 * -10y + -1x * -10y)

Reorder the terms:
50x + 10xy = 7 + (10xy + -120y)
50x + 10xy = 7 + (10xy + -120y)

Add '-10xy' to each side of the equation.
50x + 10xy + -10xy = 7 + 10xy + -10xy + -120y

Combine like terms: 10xy + -10xy = 0
50x + 0 = 7 + 10xy + -10xy + -120y
50x = 7 + 10xy + -10xy + -120y

Combine like terms: 10xy + -10xy = 0
50x = 7 + 0 + -120y
50x = 7 + -120y

Solving
50x = 7 + -120y

Solving for variable 'x'.

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

Divide each side by '50'.
x = 0.14 + -2.4y

Simplifying
x = 0.14 + -2.4y

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