1. **State the problem:** Solve the equation $7[x+2]-3=4$ for $x$. 2. **Apply the distributive property:** Multiply 7 by each term inside the brackets: $$7 \times x + 7 \times 2 - 3 = 4$$ which simplifies to $$7x + 14 - 3 = 4$$ 3. **Combine like terms:** $$7x + (14 - 3) = 4$$ $$7x + 11 = 4$$ 4. **Isolate the term with $x$:** Subtract 11 from both sides: $$7x + \cancel{11} - \cancel{11} = 4 - 11$$ $$7x = -7$$ 5. **Solve for $x$:** Divide both sides by 7: $$\frac{7x}{\cancel{7}} = \frac{-7}{\cancel{7}}$$ $$x = -1$$ **Final answer:** $$x = -1$$