Solve for x
x=12
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2\sqrt{13}x=60\sqrt{13}-3\sqrt{13}x
Use the distributive property to multiply 3\sqrt{13} by 20-x.
2\sqrt{13}x+3\sqrt{13}x=60\sqrt{13}
Add 3\sqrt{13}x to both sides.
5\sqrt{13}x=60\sqrt{13}
Combine 2\sqrt{13}x and 3\sqrt{13}x to get 5\sqrt{13}x.
\frac{5\sqrt{13}x}{5\sqrt{13}}=\frac{60\sqrt{13}}{5\sqrt{13}}
Divide both sides by 5\sqrt{13}.
x=\frac{60\sqrt{13}}{5\sqrt{13}}
Dividing by 5\sqrt{13} undoes the multiplication by 5\sqrt{13}.
x=12
Divide 60\sqrt{13} by 5\sqrt{13}.
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