Solve x-3/7x=8/9

$$x- \frac{ 3 }{ 7 } x= \frac{ 8 }{ 9 }$$

Solve for x

$$x = \frac{14}{9} = 1\frac{5}{9} \approx 1.555555556$$

Steps for Solving Linear Equation

Combine x and -\frac{3}{7}x to get \frac{4}{7}x.

$$\frac{4}{7}x=\frac{8}{9}$$

Multiply both sides by \frac{7}{4}, the reciprocal of \frac{4}{7}.

$$x=\frac{8}{9}\times \frac{7}{4}$$

Multiply \frac{8}{9} times \frac{7}{4} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{8\times 7}{9\times 4}$$

Do the multiplications in the fraction \frac{8\times 7}{9\times 4}.

$$x=\frac{56}{36}$$

Reduce the fraction \frac{56}{36} to lowest terms by extracting and canceling out 4.

$$x=\frac{14}{9}$$