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-6x+10\left(-\frac{1}{8}\right)-4=0
Reduce the fraction \frac{2}{16} to lowest terms by extracting and canceling out 2.
-6x+\frac{10\left(-1\right)}{8}-4=0
Express 10\left(-\frac{1}{8}\right) as a single fraction.
-6x+\frac{-10}{8}-4=0
Multiply 10 and -1 to get -10.
-6x-\frac{5}{4}-4=0
Reduce the fraction \frac{-10}{8} to lowest terms by extracting and canceling out 2.
-6x-\frac{5}{4}-\frac{16}{4}=0
Convert 4 to fraction \frac{16}{4}.
-6x+\frac{-5-16}{4}=0
Since -\frac{5}{4} and \frac{16}{4} have the same denominator, subtract them by subtracting their numerators.
-6x-\frac{21}{4}=0
Subtract 16 from -5 to get -21.
-6x=\frac{21}{4}
Add \frac{21}{4} to both sides. Anything plus zero gives itself.
x=\frac{\frac{21}{4}}{-6}
Divide both sides by -6.
x=\frac{21}{4\left(-6\right)}
Express \frac{\frac{21}{4}}{-6} as a single fraction.
x=\frac{21}{-24}
Multiply 4 and -6 to get -24.
x=-\frac{7}{8}
Reduce the fraction \frac{21}{-24} to lowest terms by extracting and canceling out 3.