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0.225x+5.2=10
Swap sides so that all variable terms are on the left hand side.
0.225x=10-5.2
Subtract 5.2 from both sides.
0.225x=4.8
Subtract 5.2 from 10 to get 4.8.
x=\frac{4.8}{0.225}
Divide both sides by 0.225.
x=\frac{4800}{225}
Expand \frac{4.8}{0.225} by multiplying both numerator and the denominator by 1000.
x=\frac{64}{3}
Reduce the fraction \frac{4800}{225} to lowest terms by extracting and canceling out 75.