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3x+2x-1=7.5
Use the distributive property to multiply 2 by x-0.5.
5x-1=7.5
Combine 3x and 2x to get 5x.
5x=7.5+1
Add 1 to both sides.
5x=8.5
Add 7.5 and 1 to get 8.5.
x=\frac{8.5}{5}
Divide both sides by 5.
x=\frac{85}{50}
Expand \frac{8.5}{5} by multiplying both numerator and the denominator by 10.
x=\frac{17}{10}
Reduce the fraction \frac{85}{50} to lowest terms by extracting and canceling out 5.