Solve 3z+2=2/3

$$3 z + 2 = \frac { 2 } { 3 }$$

Solve for z

$$z=-\frac{4}{9}\approx -0.444444444$$

Steps for Solving Linear Equation

Subtract 2 from both sides.

$$3z=\frac{2}{3}-2$$

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

$$3z=\frac{2}{3}-\frac{6}{3}$$

Since \frac{2}{3} and \frac{6}{3} have the same denominator, subtract them by subtracting their numerators.

$$3z=\frac{2-6}{3}$$

Subtract 6 from 2 to get -4.

$$3z=-\frac{4}{3}$$

Divide both sides by 3.

$$z=\frac{-\frac{4}{3}}{3}$$

Express \frac{-\frac{4}{3}}{3} as a single fraction.

$$z=\frac{-4}{3\times 3}$$

Multiply 3 and 3 to get 9.

$$z=\frac{-4}{9}$$

Fraction \frac{-4}{9} can be rewritten as -\frac{4}{9} by extracting the negative sign.

$$z=-\frac{4}{9}$$