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10500=\frac{1}{2}\times 3x\times 100
Combine x and 2x to get 3x.
10500=\frac{3}{2}x\times 100
Multiply \frac{1}{2} and 3 to get \frac{3}{2}.
10500=\frac{3\times 100}{2}x
Express \frac{3}{2}\times 100 as a single fraction.
10500=\frac{300}{2}x
Multiply 3 and 100 to get 300.
10500=150x
Divide 300 by 2 to get 150.
150x=10500
Swap sides so that all variable terms are on the left hand side.
x=\frac{10500}{150}
Divide both sides by 150.
x=70
Divide 10500 by 150 to get 70.