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x+5=0.24x
Combine 0.7x and 0.3x to get x.
x+5-0.24x=0
Subtract 0.24x from both sides.
0.76x+5=0
Combine x and -0.24x to get 0.76x.
0.76x=-5
Subtract 5 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-5}{0.76}
Divide both sides by 0.76.
x=\frac{-500}{76}
Expand \frac{-5}{0.76} by multiplying both numerator and the denominator by 100.
x=-\frac{125}{19}
Reduce the fraction \frac{-500}{76} to lowest terms by extracting and canceling out 4.