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x=2.5-2.5x
Use the distributive property to multiply 2.5 by 1-x.
x+2.5x=2.5
Add 2.5x to both sides.
3.5x=2.5
Combine x and 2.5x to get 3.5x.
x=\frac{2.5}{3.5}
Divide both sides by 3.5.
x=\frac{25}{35}
Expand \frac{2.5}{3.5} by multiplying both numerator and the denominator by 10.
x=\frac{5}{7}
Reduce the fraction \frac{25}{35} to lowest terms by extracting and canceling out 5.