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\frac{3}{5}x\times 12-360=30\times 30
Use the distributive property to multiply \frac{3}{5}x-30 by 12.
\frac{3\times 12}{5}x-360=30\times 30
Express \frac{3}{5}\times 12 as a single fraction.
\frac{36}{5}x-360=30\times 30
Multiply 3 and 12 to get 36.
\frac{36}{5}x-360=900
Multiply 30 and 30 to get 900.
\frac{36}{5}x=900+360
Add 360 to both sides.
\frac{36}{5}x=1260
Add 900 and 360 to get 1260.
x=1260\times \frac{5}{36}
Multiply both sides by \frac{5}{36}, the reciprocal of \frac{36}{5}.
x=\frac{1260\times 5}{36}
Express 1260\times \frac{5}{36} as a single fraction.
x=\frac{6300}{36}
Multiply 1260 and 5 to get 6300.
x=175
Divide 6300 by 36 to get 175.