Solve (x-8/9)+3*7/9=4*4/9

$$(x- \frac{ 8 }{ 9 } )+3 \times \frac{ 7 }{ 9 } =4 \times \frac{ 4 }{ 9 }$$

Solve for x

$$x=\frac{1}{3}\approx 0.333333333$$

Steps for Solving Linear Equation

Express 3\times \frac{7}{9} as a single fraction.

$$x-\frac{8}{9}+\frac{3\times 7}{9}=4\times \frac{4}{9}$$

Multiply 3 and 7 to get 21.

$$x-\frac{8}{9}+\frac{21}{9}=4\times \frac{4}{9}$$

Reduce the fraction \frac{21}{9} to lowest terms by extracting and canceling out 3.

$$x-\frac{8}{9}+\frac{7}{3}=4\times \frac{4}{9}$$

Least common multiple of 9 and 3 is 9. Convert -\frac{8}{9} and \frac{7}{3} to fractions with denominator 9.

$$x-\frac{8}{9}+\frac{21}{9}=4\times \frac{4}{9}$$

Since -\frac{8}{9} and \frac{21}{9} have the same denominator, add them by adding their numerators.

$$x+\frac{-8+21}{9}=4\times \frac{4}{9}$$

Add -8 and 21 to get 13.

$$x+\frac{13}{9}=4\times \frac{4}{9}$$

Express 4\times \frac{4}{9} as a single fraction.

$$x+\frac{13}{9}=\frac{4\times 4}{9}$$

Multiply 4 and 4 to get 16.

$$x+\frac{13}{9}=\frac{16}{9}$$

Subtract \frac{13}{9} from both sides.

$$x=\frac{16}{9}-\frac{13}{9}$$

Since \frac{16}{9} and \frac{13}{9} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{16-13}{9}$$

Subtract 13 from 16 to get 3.

$$x=\frac{3}{9}$$

Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.

$$x=\frac{1}{3}$$