Solve -x/frac{5{6}}=7/-frac{3{14}}

$$\frac{ -x }{ \frac{ 5 }{ 6 } } = \frac{ 7 }{ - \frac{ 3 }{ 14 } }$$

Solve for x

$$x = \frac{245}{9} = 27\frac{2}{9} \approx 27.222222222$$

Steps for Solving Linear Equation

Divide 7 by -\frac{3}{14} by multiplying 7 by the reciprocal of -\frac{3}{14}.

$$\frac{-x}{\frac{5}{6}}=7\left(-\frac{14}{3}\right)$$

Express 7\left(-\frac{14}{3}\right) as a single fraction.

$$\frac{-x}{\frac{5}{6}}=\frac{7\left(-14\right)}{3}$$

Multiply 7 and -14 to get -98.

$$\frac{-x}{\frac{5}{6}}=\frac{-98}{3}$$

Fraction \frac{-98}{3} can be rewritten as -\frac{98}{3} by extracting the negative sign.

$$\frac{-x}{\frac{5}{6}}=-\frac{98}{3}$$

Multiply both sides by \frac{5}{6}.

$$-x=-\frac{98}{3}\times \frac{5}{6}$$

Multiply -\frac{98}{3} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$-x=\frac{-98\times 5}{3\times 6}$$

Do the multiplications in the fraction \frac{-98\times 5}{3\times 6}.

$$-x=\frac{-490}{18}$$

Reduce the fraction \frac{-490}{18} to lowest terms by extracting and canceling out 2.

$$-x=-\frac{245}{9}$$

Multiply both sides by -1.

$$x=\frac{245}{9}$$