Simplify \(\frac{10x}{100}\) to \(\frac{x}{10}\).
\[\frac{x}{10}+\frac{56000-x}{12}=6400\]
Multiply both sides by \(60\) (the LCM of \(10, 12\)).
\[6x+5(56000-x)=384000\]
Expand.
\[6x+280000-5x=384000\]
Simplify \(6x+280000-5x\) to \(x+280000\).
\[x+280000=384000\]
Subtract \(280000\) from both sides.
\[x=384000-280000\]
Simplify \(384000-280000\) to \(104000\).
\[x=104000\]
x=104000