Solve 2/33-2/3x=8/9

$$\frac { 2 } { 3 } 3 - \frac { 2 } { 3 } x = \frac { 8 } { 9 }$$

Solve for x

$$x = \frac{5}{3} = 1\frac{2}{3} \approx 1.666666667$$

Steps for Solving Linear Equation

Cancel out 3 and 3.

$$2-\frac{2}{3}x=\frac{8}{9}$$

Subtract 2 from both sides.

$$-\frac{2}{3}x=\frac{8}{9}-2$$

Convert 2 to fraction \frac{18}{9}.

$$-\frac{2}{3}x=\frac{8}{9}-\frac{18}{9}$$

Since \frac{8}{9} and \frac{18}{9} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{2}{3}x=\frac{8-18}{9}$$

Subtract 18 from 8 to get -10.

$$-\frac{2}{3}x=-\frac{10}{9}$$

Multiply both sides by -\frac{3}{2}, the reciprocal of -\frac{2}{3}.

$$x=-\frac{10}{9}\left(-\frac{3}{2}\right)$$

Multiply -\frac{10}{9} times -\frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-10\left(-3\right)}{9\times 2}$$

Do the multiplications in the fraction \frac{-10\left(-3\right)}{9\times 2}.

$$x=\frac{30}{18}$$

Reduce the fraction \frac{30}{18} to lowest terms by extracting and canceling out 6.

$$x=\frac{5}{3}$$