Solve x-4/9x=10/20

$$x- \frac{ 4 }{ 9 } x= \frac{ 10 }{ 20 }$$

Solve for x

$$x=\frac{9}{10}=0.9$$

Steps for Solving Linear Equation

Combine x and -\frac{4}{9}x to get \frac{5}{9}x.

$$\frac{5}{9}x=\frac{10}{20}$$

Reduce the fraction \frac{10}{20} to lowest terms by extracting and canceling out 10.

$$\frac{5}{9}x=\frac{1}{2}$$

Multiply both sides by \frac{9}{5}, the reciprocal of \frac{5}{9}.

$$x=\frac{1}{2}\times \frac{9}{5}$$

Multiply \frac{1}{2} times \frac{9}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{1\times 9}{2\times 5}$$

Do the multiplications in the fraction \frac{1\times 9}{2\times 5}.

$$x=\frac{9}{10}$$