Subjects algebra

Linear Equation 79D444

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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 $$ x = 60.5 $$