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\frac{2580}{2400}=1+\frac{x}{100}
Divide both sides by 2400.
\frac{43}{40}=1+\frac{x}{100}
Reduce the fraction \frac{2580}{2400} to lowest terms by extracting and canceling out 60.
215=200+2x
Multiply both sides of the equation by 200, the least common multiple of 40,100.
200+2x=215
Swap sides so that all variable terms are on the left hand side.
2x=215-200
Subtract 200 from both sides.
2x=15
Subtract 200 from 215 to get 15.
x=\frac{15}{2}
Divide both sides by 2.