Solve 4/5x=-6/7

$$\frac{ 4 }{ 5 } x= \frac{ -6 }{ 7 }$$

Solve for x

$$x = -\frac{15}{14} = -1\frac{1}{14} \approx -1.071428571$$

Steps for Solving Linear Equation

Fraction \frac{-6}{7} can be rewritten as -\frac{6}{7} by extracting the negative sign.

$$\frac{4}{5}x=-\frac{6}{7}$$

Multiply both sides by \frac{5}{4}, the reciprocal of \frac{4}{5}.

$$x=-\frac{6}{7}\times \frac{5}{4}$$

Multiply -\frac{6}{7} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-6\times 5}{7\times 4}$$

Do the multiplications in the fraction \frac{-6\times 5}{7\times 4}.

$$x=\frac{-30}{28}$$

Reduce the fraction \frac{-30}{28} to lowest terms by extracting and canceling out 2.

$$x=-\frac{15}{14}$$