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.

Question

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.

Answer 1

Part 1:

The first step in solving this equation is to distribute the 4 to the terms inside the parentheses.

Part 2:

After distributing the 4, the equation becomes 12x - 8 = -24. The next step is to isolate the variable, which involves getting rid of the constant term (-8) on the left side of the equation. This can be done by adding 8 to both sides of the equation. After this, the equation will be 12x = -16. Finally, to solve for x, we divide both sides of the equation by 12, resulting in x = -16/12, which can be simplified as x = -4/3.

Answer 2

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Answer 3

Part 1:

The first step in solving this equation is to simplify the left side. We multiply 4 by each term inside the parentheses, which is like sharing 4 between them.

Part 2:

After simplifying, we have 12x - 8 = -24. The next step is to get the x all by itself. We can do this by adding 8 to both sides of the equation, which is like moving the -8 to the other side. This gives us 12x = -16. To solve for x, we divide both sides of the equation by 12, which is like sharing the 12 equally. This gives us x = -16/12, which can be simplified as x = -4/3.

Answer 4

Part 1: The first step in solving the equation 4(3x−2)=−24 is to simplify the expression within the parentheses. To do this, we distribute the 4 to both terms inside the parentheses. This results in the equation 12x - 8 = -24.

Part 2: To isolate the variable x and solve for it, you would continue by performing inverse operations. In this case, we want to isolate x, so we can start by adding 8 to both sides of the equation to get rid of the constant term on the left side. This yields 12x = -16.

Then, divide both sides of the equation by 12 to solve for x. This would give you the value of x in terms of the equation.

Note: Since you only requested an explanation and not the exact solution, the final value of x is not provided here.