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3\sqrt{3}x-\sqrt{3}x=1500
Multiply both sides of the equation by 3.
2\sqrt{3}x=1500
Combine 3\sqrt{3}x and -\sqrt{3}x to get 2\sqrt{3}x.
\frac{2\sqrt{3}x}{2\sqrt{3}}=\frac{1500}{2\sqrt{3}}
Divide both sides by 2\sqrt{3}.
x=\frac{1500}{2\sqrt{3}}
Dividing by 2\sqrt{3} undoes the multiplication by 2\sqrt{3}.
x=250\sqrt{3}
Divide 1500 by 2\sqrt{3}.