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\frac{3\times 100}{2}x-100x=400
Express \frac{3}{2}\times 100 as a single fraction.
\frac{300}{2}x-100x=400
Multiply 3 and 100 to get 300.
150x-100x=400
Divide 300 by 2 to get 150.
50x=400
Combine 150x and -100x to get 50x.
x=\frac{400}{50}
Divide both sides by 50.
x=8
Divide 400 by 50 to get 8.