5х-3(5х-8)<-7

Let's solve the inequality step by step.

Given:

\[ 5x - 3(5x - 8) < -7 \]

First, distribute \(-3\) in the expression:

\[ 5x - 15x + 24 < -7 \]

Combine like terms:

\[ -10x + 24 < -7 \]

Next, isolate the term with \(x\) by subtracting 24 from both sides:

\[ -10x < -7 - 24 \]

This simplifies to:

\[ -10x < -31 \]

Now, divide both sides by \(-10\). Remember that when you divide by a negative number, you must flip the inequality sign:

\[ x > \frac{-31}{-10} \]

This simplifies to:

\[ x > 3.1 \]

Thus, the solution to the inequality is:

\[ x > 3.1 \]