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0.6x+192-\frac{6}{7}x=0
Subtract \frac{6}{7}x from both sides.
-\frac{9}{35}x+192=0
Combine 0.6x and -\frac{6}{7}x to get -\frac{9}{35}x.
-\frac{9}{35}x=-192
Subtract 192 from both sides. Anything subtracted from zero gives its negation.
x=-192\left(-\frac{35}{9}\right)
Multiply both sides by -\frac{35}{9}, the reciprocal of -\frac{9}{35}.
x=\frac{-192\left(-35\right)}{9}
Express -192\left(-\frac{35}{9}\right) as a single fraction.
x=\frac{6720}{9}
Multiply -192 and -35 to get 6720.
x=\frac{2240}{3}
Reduce the fraction \frac{6720}{9} to lowest terms by extracting and canceling out 3.