Solve the one-variable inequality 16x−35≤13

To solve the inequality \( 16x - 35 \leq 13 \), follow these steps:

1. **Add 35 to both sides** to isolate the term with \( x \):

\[
16x - 35 + 35 \leq 13 + 35
\]

Simplifying this gives:

\[
16x \leq 48
\]

2. **Divide both sides by 16** to solve for \( x \):

\[
x \leq \frac{48}{16}
\]

Simplifying the right side gives:

\[
x \leq 3
\]

Thus, the solution to the inequality is:

\[
\boxed{x \leq 3}
\]