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-6.2-12.6x+7.8x=5.8
Add 7.8x to both sides.
-6.2-4.8x=5.8
Combine -12.6x and 7.8x to get -4.8x.
-4.8x=5.8+6.2
Add 6.2 to both sides.
-4.8x=12
Add 5.8 and 6.2 to get 12.
x=\frac{12}{-4.8}
Divide both sides by -4.8.
x=\frac{120}{-48}
Expand \frac{12}{-4.8} by multiplying both numerator and the denominator by 10.
x=-\frac{5}{2}
Reduce the fraction \frac{120}{-48} to lowest terms by extracting and canceling out 24.