Solve for x
x=\frac{3}{25}=0.12
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30\sqrt{5}x-5\sqrt{5}x=3\sqrt{5}
Multiply both sides of the equation by 15, the least common multiple of 3,5.
25\sqrt{5}x=3\sqrt{5}
Combine 30\sqrt{5}x and -5\sqrt{5}x to get 25\sqrt{5}x.
\frac{25\sqrt{5}x}{25\sqrt{5}}=\frac{3\sqrt{5}}{25\sqrt{5}}
Divide both sides by 25\sqrt{5}.
x=\frac{3\sqrt{5}}{25\sqrt{5}}
Dividing by 25\sqrt{5} undoes the multiplication by 25\sqrt{5}.
x=\frac{3}{25}
Divide 3\sqrt{5} by 25\sqrt{5}.
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