Consider this equation: 4(3x−2)=−24 Part 1. What is your first step in solving this equation? Remember, there is more than one way to solve this equation. Part 2. How would you isolate the variable and solve for x after you have completed Part 1? You do not need to solve the problem. Simply, describe your process.
Part 1:
The first step in solving this equation is to distribute the 4 to both terms inside the parentheses. This can be done by multiplying 4 with each term inside the parentheses separately.
Part 2:
After completing Part 1, we will have 12x - 8 = -24. To isolate the variable x, we can start by adding 8 to both sides of the equation to get rid of the constant term on the left side. This will give us 12x = -16. Next, we divide both sides of the equation by 12 to solve for x. The final step would be to simplify the equation if necessary.
Part 1: The first step to solving this equation is to distribute the 4 to the terms inside the parentheses. To do this, you multiply 4 by each term within the parentheses.
Part 2: After distributing the 4, you will have 12x - 8 = -24. To isolate the variable x, you need to perform the inverse operation of the -8 term. In this case, since -8 is being subtracted, you perform the inverse operation of subtraction, which is addition. Adding 8 to both sides of the equation will cancel out the -8 on the left side, leaving you with 12x = -16.
Finally, to solve for x, you divide both sides of the equation by 12, which is the coefficient of x. This cancels out the 12 on the left side, giving you the solution to the equation. However, since you only asked for the process, I won't provide the actual solution to this specific equation.