1. **State the problem:** Solve the inequality $7x - 2 > 6x - 5$. 2. **Isolate the variable terms on one side:** Subtract $6x$ from both sides: $$7x - 2 > 6x - 5$$ $$7x - \cancel{6x} - 2 > \cancel{6x} - 5$$ $$x - 2 > -5$$ 3. **Isolate $x$ by adding 2 to both sides:** $$x - 2 + 2 > -5 + 2$$ $$x > -3$$ 4. **Interpretation:** The solution to the inequality is all values of $x$ greater than $-3$. **Final answer:** $$x > -3$$