1. **State the problem:** Solve the linear equation $ (2x + 3) - 4 = 120 $ for $ x $.
2. **Simplify the equation:** Combine like terms inside the parentheses and constants outside.
$$ (2x + 3) - 4 = 120 $$
$$ 2x + 3 - 4 = 120 $$
$$ 2x - 1 = 120 $$
3. **Isolate the variable term:** Add 1 to both sides to move the constant term.
$$ 2x - 1 + 1 = 120 + 1 $$
$$ 2x = 121 $$
4. **Solve for $ x $:** Divide both sides by 2 to isolate $ x $.
$$ x = \frac{121}{2} $$
$$ x = 60.5 $$
5. **Final answer:** The solution to the equation is
$$ x = 60.5 $$
Linear Equation 79D444
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.