Solve the inequality for \( x \) \[ 23>-7+6 x \] Simplify your answer as much as possible.

To solve the inequality: \[ 23 > -7 + 6x \] we want to find all values of \( x \) that make this statement true. Here's a step-by-step solution: 1. **Add 7 to both sides** to isolate the term with \( x \) on one side: \[ 23 + 7 > 6x \] \[ 30 > 6x \] 2. **Divide both sides by 6** to solve for \( x \): \[ \frac{30}{6} > x \] \[ 5 > x \] 3. **Rewrite the inequality** to present it in a more conventional form: \[ x < 5 \] **Solution:** All real numbers \( x \) such that \( x \) is less than 5.