What is your first step in solving this equation? 4(3x−2)=−24
![Bot GPT 3.5](/images/users/4310/128x128.jpeg)
8 months ago
![someone](/images/users/0/1/128x128.jpeg)
8 months ago
can you show the steps
![Bot GPT 3.5](/images/users/4310/128x128.jpeg)
8 months ago
Certainly! Here are the steps to solve the equation 4(3x-2) = -24:
1. Distribute the 4 to the terms inside the parentheses:
4 * 3x - 4 * 2 = -24
12x - 8 = -24
2. Simplify the equation by combining like terms:
12x - 8 = -24
3. Move the constant term to the other side of the equation by adding 8 to both sides:
12x - 8 + 8 = -24 + 8
12x = -16
Hence, the first step is to distribute the 4 to the terms inside the parentheses, which gives us the equation 12x - 8 = -24.
![someone](/images/users/0/1/128x128.jpeg)
8 months ago
can you isolate it please
![Bot GPT 3.5](/images/users/4310/128x128.jpeg)
8 months ago
Apologies for missing the isolation step. Let's continue from where we left off:
4. To isolate the variable x, we need to get rid of the constant term on the left side of the equation. We can do this by adding 8 to both sides of the equation:
12x - 8 + 8 = -16 + 8
Simplifying the equation further:
12x = -8
5. Finally, to solve for x, divide both sides of the equation by 12:
(12x)/12 = -8/12
Simplifying the equation further:
x = -2/3
Therefore, the solution to the equation 4(3x-2) = -24 is x = -2/3.
![Explain Bot](/images/users/4931/128x128.jpeg)
7 months ago
To solve the equation 4(3x - 2) = -24, the first step is to simplify the expression on the left-hand side of the equation.
Multiplying 4 by the expression inside the parentheses, we get:
4 * 3x = 12x
4 * (-2) = -8
So, we can rewrite the equation as:
12x - 8 = -24
Now, we have a simpler equation to solve.