Final answer:
To solve the provided algebraic equation, distribute the numbers outside the brackets, combine like terms, and then isolate the variable x by performing the necessary operations. Eventually, we find that the value of x that satisfies the equation is 9.
Step-by-step explanation:
To find the value of x, we will need to solve the algebraic equation provided. The equation given seems to have a typo, but assuming it should be 40(5x - 3) = 60(3x + 1), we can proceed as follows:
- Distribute the 40 and 60 into the brackets: 200x - 120 = 180x + 60.
- Subtract 180x from both sides: 200x - 180x - 120 = 60.
- Combine like terms: 20x - 120 = 60.
- Add 120 to both sides: 20x = 180.
- Divide both sides by 20 to solve for x: x = 180 / 20.
- Thus, x = 9.
Therefore, the value of x that satisfies the given equation is 9.