x(8y+10z)=y(8x+8z)

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Solution for x(8y+10z)=y(8x+8z) equation:


Simplifying
x(8y + 10z) = y(8x + 8z)
(8y * x + 10z * x) = y(8x + 8z)
(8xy + 10xz) = y(8x + 8z)
8xy + 10xz = (8x * y + 8z * y)
8xy + 10xz = (8xy + 8yz)

Add '-8xy' to each side of the equation.
8xy + -8xy + 10xz = 8xy + -8xy + 8yz

Combine like terms: 8xy + -8xy = 0
0 + 10xz = 8xy + -8xy + 8yz
10xz = 8xy + -8xy + 8yz

Combine like terms: 8xy + -8xy = 0
10xz = 0 + 8yz
10xz = 8yz

Solving
10xz = 8yz

Solving for variable 'x'.

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

Divide each side by '10z'.
x = 0.8y

Simplifying
x = 0.8y

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