Solve for x
x=9
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10\left(225\times \frac{x}{10}-180-5\right)\times \frac{3700}{180+5}=3500
Multiply both sides of the equation by 10.
10\left(\frac{225x}{10}-180-5\right)\times \frac{3700}{180+5}=3500
Express 225\times \frac{x}{10} as a single fraction.
10\left(\frac{225x}{10}-185\right)\times \frac{3700}{180+5}=3500
Subtract 5 from -180 to get -185.
10\left(\frac{225x}{10}-185\right)\times \frac{3700}{185}=3500
Add 180 and 5 to get 185.
10\left(\frac{225x}{10}-185\right)\times 20=3500
Divide 3700 by 185 to get 20.
200\left(\frac{225x}{10}-185\right)=3500
Multiply 10 and 20 to get 200.
200\left(\frac{45}{2}x-185\right)=3500
Divide 225x by 10 to get \frac{45}{2}x.
200\times \frac{45}{2}x-37000=3500
Use the distributive property to multiply 200 by \frac{45}{2}x-185.
\frac{200\times 45}{2}x-37000=3500
Express 200\times \frac{45}{2} as a single fraction.
\frac{9000}{2}x-37000=3500
Multiply 200 and 45 to get 9000.
4500x-37000=3500
Divide 9000 by 2 to get 4500.
4500x=3500+37000
Add 37000 to both sides.
4500x=40500
Add 3500 and 37000 to get 40500.
x=\frac{40500}{4500}
Divide both sides by 4500.
x=9
Divide 40500 by 4500 to get 9.
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