1. **State the problem:** Solve the inequality $3x - 4 < x + 10$. 2. **Write the inequality:** $$3x - 4 < x + 10$$ 3. **Isolate the variable terms on one side:** Subtract $x$ from both sides: $$3x - 4 - x < x + 10 - x$$ $$2x - 4 < 10$$ 4. **Isolate the constant terms on the other side:** Add 4 to both sides: $$2x - 4 + 4 < 10 + 4$$ $$2x < 14$$ 5. **Solve for $x$ by dividing both sides by 2:** $$\frac{\cancel{2}x}{\cancel{2}} < \frac{14}{2}$$ $$x < 7$$ 6. **Final answer:** The solution to the inequality is: $$x < 7$$ This means any value of $x$ less than 7 satisfies the inequality.