Final answer:
The solution of the linear equation 2,401 = 76 – 2x is found by isolating x, which gives x = -1,162.5 after performing the necessary arithmetic operations: subtracting 76 from 2,401 and then dividing by 2.
Step-by-step explanation:
To solve the equation 2,401 = 76 – 2x, you need to isolate the variable x. Firstly, you should move all terms involving x to one side and the constant terms to the other side, which gives us:
2x = 76 - 2,401
Subtract 76 from 2,401 to get:
2x = -2,325
Now, divide both sides by 2 to solve for x:
x = -2,325 / 2
x = -1,162.5