Solve 8x+2/9=9x+5/9

$$8 x + \frac { 2 } { 9 } = 9 x + \frac { 5 } { 9 }$$

Solve for x

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

Steps for Solving Linear Equation

Subtract 9x from both sides.

$$8x+\frac{2}{9}-9x=\frac{5}{9}$$

Combine 8x and -9x to get -x.

$$-x+\frac{2}{9}=\frac{5}{9}$$

Subtract \frac{2}{9} from both sides.

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

Since \frac{5}{9} and \frac{2}{9} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 2 from 5 to get 3.

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

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

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

Multiply both sides by -1.

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