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. **Please label Part 1 and Part 2 in your answer.** (2 points)
Part 1: To solve this equation, the first step is to distribute the 4 to the terms inside the parentheses. This can be done by multiplying 4 by both 3x and -2.
Part 2: After distributing the 4, we can simplify the equation by combining like terms. This involves adding or subtracting terms on the same side of the equation. In this case, we would add the terms 12x and -8x, resulting in 4x. The equation would then become 4x - 8 = -24.
Next, we isolate the variable by moving the constant term to the other side of the equation. In this case, we can do this by adding 8 to both sides of the equation, resulting in 4x = -16.
Finally, to solve for x, we divide both sides of the equation by 4 to isolate the variable. This gives us the solution for x.