x(12y+14z)=y(12x+16z)

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Solution for x(12y+14z)=y(12x+16z) equation:


Simplifying
x(12y + 14z) = y(12x + 16z)
(12y * x + 14z * x) = y(12x + 16z)
(12xy + 14xz) = y(12x + 16z)
12xy + 14xz = (12x * y + 16z * y)
12xy + 14xz = (12xy + 16yz)

Add '-12xy' to each side of the equation.
12xy + -12xy + 14xz = 12xy + -12xy + 16yz

Combine like terms: 12xy + -12xy = 0
0 + 14xz = 12xy + -12xy + 16yz
14xz = 12xy + -12xy + 16yz

Combine like terms: 12xy + -12xy = 0
14xz = 0 + 16yz
14xz = 16yz

Solving
14xz = 16yz

Solving for variable 'x'.

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

Divide each side by '14z'.
x = 1.142857143y

Simplifying
x = 1.142857143y

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