Solve 5/9-x1/3=2/3=

$$\frac{ 5 }{ 9 } -x \frac{ 1 }{ 3 } = \frac{ 2 }{ 3 } =$$

Solve for x

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

Steps for Solving Linear Equation

Multiply -1 and \frac{1}{3} to get -\frac{1}{3}.

$$\frac{5}{9}-\frac{1}{3}x=\frac{2}{3}$$

Subtract \frac{5}{9} from both sides.

$$-\frac{1}{3}x=\frac{2}{3}-\frac{5}{9}$$

Least common multiple of 3 and 9 is 9. Convert \frac{2}{3} and \frac{5}{9} to fractions with denominator 9.

$$-\frac{1}{3}x=\frac{6}{9}-\frac{5}{9}$$

Since \frac{6}{9} and \frac{5}{9} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{1}{3}x=\frac{6-5}{9}$$

Subtract 5 from 6 to get 1.

$$-\frac{1}{3}x=\frac{1}{9}$$

Multiply both sides by -3, the reciprocal of -\frac{1}{3}.

$$x=\frac{1}{9}\left(-3\right)$$

Multiply \frac{1}{9} and -3 to get \frac{-3}{9}.

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

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

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