1. **State the problem:** Solve the equation $x + 10 = 6$ for $x$. 2. **Formula and rule:** To isolate $x$, subtract 10 from both sides of the equation. This uses the rule that if you do the same operation on both sides of an equation, the equality holds. 3. **Intermediate work:** $$x + 10 = 6$$ Subtract 10 from both sides: $$x + \cancel{10} - \cancel{10} = 6 - 10$$ 4. **Simplify:** $$x = 6 - 10$$ $$x = -4$$ 5. **Answer:** The solution to the equation is $x = -4$. This means that when $x$ is $-4$, the original equation $x + 10 = 6$ is true.