Solve for x: (5)/(3)-(2)/(x)=(8)/(x) 6 square (26)/(5)

## Step 1: Identify the given equation<br />### The given equation is \( \frac{5}{3} - \frac{2}{x} = \frac{8}{x} \).<br /><br />## Step 2: Combine like terms<br />### Combine the terms involving \( x \) on one side of the equation:<br />\[ \frac{5}{3} = \frac{8}{x} + \frac{2}{x} \]<br /><br />## Step 3: Simplify the equation<br />### Combine the fractions on the right-hand side:<br />\[ \frac{5}{3} = \frac{8 + 2}{x} \]<br />\[ \frac{5}{3} = \frac{10}{x} \]<br /><br />## Step 4: Cross-multiply to solve for \( x \)<br />### Cross-multiply to isolate \( x \):<br />\[ 5x = 3 \times 10 \]<br />\[ 5x = 30 \]<br /><br />## Step 5: Solve for \( x \)<br />### Divide both sides by 5:<br />\[ x = \frac{30}{5} \]<br />\[ x = 6 \]