Solve x=16/3-(2)/-3-(-8)

$$x = \frac { \frac { 16 } { 3 } - ( 2 ) } { - 3 - ( - 8 ) }$$

Solve for x

$$x=\frac{2}{3}\approx 0.666666667$$

Steps for Solving Linear Equation

Convert 2 to fraction \frac{6}{3}.

$$x=\frac{\frac{16}{3}-\frac{6}{3}}{-3-\left(-8\right)}$$

Since \frac{16}{3} and \frac{6}{3} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{\frac{16-6}{3}}{-3-\left(-8\right)}$$

Subtract 6 from 16 to get 10.

$$x=\frac{\frac{10}{3}}{-3-\left(-8\right)}$$

The opposite of -8 is 8.

$$x=\frac{\frac{10}{3}}{-3+8}$$

Add -3 and 8 to get 5.

$$x=\frac{\frac{10}{3}}{5}$$

Express \frac{\frac{10}{3}}{5} as a single fraction.

$$x=\frac{10}{3\times 5}$$

Multiply 3 and 5 to get 15.

$$x=\frac{10}{15}$$

Reduce the fraction \frac{10}{15} to lowest terms by extracting and canceling out 5.

$$x=\frac{2}{3}$$

Assign x

$$x≔\frac{2}{3}$$