Question

solve for x,
\\(\frac{1}{7}x - \frac{5}{3} = -\frac{5}{2}\\)
simplify your answer as much as possible.
\\(x = \square\\)

Explanation:

Step1: Add $\frac{5}{3}$ to both sides

$\frac{1}{7}x = -\frac{5}{2} + \frac{5}{3}$

Step2: Calculate right-hand side

$\frac{1}{7}x = \frac{-15 + 10}{6} = -\frac{5}{6}$

Step3: Multiply both sides by 7

$x = -\frac{5}{6} \times 7 = -\frac{35}{6}$

Answer:

$-\frac{35}{6}$