144(x-10)=x(144-y)

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Solution for 144(x-10)=x(144-y) equation:


Simplifying
144(x + -10) = x(144 + -1y)

Reorder the terms:
144(-10 + x) = x(144 + -1y)
(-10 * 144 + x * 144) = x(144 + -1y)
(-1440 + 144x) = x(144 + -1y)
-1440 + 144x = (144 * x + -1y * x)
-1440 + 144x = (144x + -1xy)

Add '-144x' to each side of the equation.
-1440 + 144x + -144x = 144x + -144x + -1xy

Combine like terms: 144x + -144x = 0
-1440 + 0 = 144x + -144x + -1xy
-1440 = 144x + -144x + -1xy

Combine like terms: 144x + -144x = 0
-1440 = 0 + -1xy
-1440 = -1xy

Solving
-1440 = -1xy

Solving for variable 'x'.

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

Add 'xy' to each side of the equation.
-1440 + xy = -1xy + xy

Combine like terms: -1xy + xy = 0
-1440 + xy = 0

Add '1440' to each side of the equation.
-1440 + 1440 + xy = 0 + 1440

Combine like terms: -1440 + 1440 = 0
0 + xy = 0 + 1440
xy = 0 + 1440

Combine like terms: 0 + 1440 = 1440
xy = 1440

Divide each side by 'y'.
x = 1440y-1

Simplifying
x = 1440y-1

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