Question

solve.
\\(\frac{2}{3}x - 3 = \frac{1}{3}\\)
a. \\(x = -\frac{16}{9}\\)
b. \\(x = \frac{20}{9}\\)
c. \\(x = 5\\)
d. \\(x = -4\\)

Explanation:

Step1: Add 3 to both sides

$\frac{2}{3}x = \frac{1}{3} + 3$
$\frac{2}{3}x = \frac{1}{3} + \frac{9}{3} = \frac{10}{3}$

Step2: Multiply by reciprocal of $\frac{2}{3}$

$x = \frac{10}{3} \times \frac{3}{2}$
$x = 5$

Answer:

C. $x = 5$