To solve each of these equations for \( x \), we need to isolate \( x \) on one side of the equation. Let's tackle each one step by step:

### a) \( x - \frac{1}{5} = \frac{2}{7} \times -\frac{11}{5} \)

1. First, calculate the right side of the equation:

\[
\frac{2}{7} \times -\frac{11}{5} = -\frac{22}{35}
\]

So the equation becomes:

\[
x - \frac{1}{5} = -\frac{22}{35}
\]

2. To solve for \( x \), add \(\frac{1}{5}\) to both sides:

\[
x = -\frac{22}{35} + \frac{1}{5}
\]

3. Convert \(\frac{1}{5}\) to a fraction with a denominator of 35:

\[
\frac{1}{5} = \frac{7}{35}
\]

4. Add the fractions:

\[
x = -\frac{22}{35} + \frac{7}{35} = -\frac{15}{35}
\]

5. Simplify the fraction:

\[
x = -\frac{3}{7}
\]

### b) \( \frac{x}{468} = -\frac{7}{13} \times \frac{5}{9} \)

1. Calculate the right side of the equation:

\[
-\frac{7}{13} \times \frac{5}{9} = -\frac{35}{117}
\]

So the equation is:

\[
\frac{x}{468} = -\frac{35}{117}
\]

2. Solve for \( x \) by multiplying both sides by 468:

\[
x = -\frac{35}{117} \times 468
\]

3. Simplify:

First, simplify \(\frac{468}{117}\):

\[
\frac{468}{117} = 4
\]

Then:

\[
x = -35 \times 4 = -140
\]

### c) \( \frac{x}{182} = -\frac{6}{14} \times \frac{35}{91} \)

1. Calculate the right side of the equation:

\[
-\frac{6}{14} \times \frac{35}{91} = -\frac{3}{7} \times \frac{5}{13}
\]

Simplify both fractions:

\[
-\frac{3}{7} \times \frac{5}{13} = -\frac{15}{91}
\]

So the equation becomes:

\[
\frac{x}{182} = -\frac{15}{91}
\]

2. Solve for \( x \) by multiplying both sides by 182:

\[
x = -\frac{15}{91} \times 182
\]

3. Simplify:

First, simplify \(\frac{182}{91}\):

\[
\frac{182}{91} = 2
\]

Then:

\[
x = -15 \times 2 = -30
\]

Final results:

- a) \( x = -\frac{3}{7} \)
- b) \( x = -140 \)
- c) \( x = -30 \)