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78-x+0.5x=59.5
Add 0.5x to both sides.
78-0.5x=59.5
Combine -x and 0.5x to get -0.5x.
-0.5x=59.5-78
Subtract 78 from both sides.
-0.5x=-18.5
Subtract 78 from 59.5 to get -18.5.
x=\frac{-18.5}{-0.5}
Divide both sides by -0.5.
x=\frac{-185}{-5}
Expand \frac{-18.5}{-0.5} by multiplying both numerator and the denominator by 10.
x=37
Divide -185 by -5 to get 37.