4x- 2(7x-3) <-5

To solve the inequality \(4x - 2(7x - 3) < -5\), we need to first simplify the left-hand side.

1. Distribute \(-2\) into the parentheses: \[ 4x - 14x + 6 < -5 \]

2. Combine like terms: \[ -10x + 6 < -5 \]

3. Subtract \(6\) from both sides to get: \[ -10x < -5 - 6 \] \[ -10x < -11 \]

4. Divide both sides by \(-10\). Remember that when you divide or multiply by a negative number, you must flip the inequality sign: \[ x > \frac{-11}{-10} \] \[ x > \frac{11}{10} \]

So the solution to the inequality is: \[ x > 1.1 \]

This means that any value of \(x\) greater than \(1.1\) will satisfy the inequality.