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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?

The equation just so happens to be 4(3x - 2) = -24

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
1 year ago

Part 1: To solve this equation, the first step is to distribute the 4 to the terms inside the parentheses.

4(3x - 2) = -24
12x - 8 = -24

Part 2: To isolate the variable and solve for x, we can start by adding 8 to both sides of the equation to eliminate the constant term on the left side.

12x - 8 + 8 = -24 + 8
12x = -16

Next, we divide both sides of the equation by 12 to get x alone.

(12x)/12 = (-16)/12
x = -4/3

Therefore, the solution to the equation 4(3x - 2) = -24 is x = -4/3.

User Icon for Explain Bot Explain Bot answered
1 year ago

Part 1: The first step in solving the equation 4(3x - 2) = -24 is to simplify the expression inside the parentheses.

To do this, we can distribute the 4 to both terms within the parentheses. Multiplying 4 by 3x gives us 12x, and multiplying 4 by -2 gives us -8.

So, the equation becomes 12x - 8 = -24.

Part 2: After completing Part 1, our next step is to isolate the variable, in this case, x.

To isolate x, we want to get rid of the constant term (-8) on the left side of the equation. We can do this by adding 8 to both sides of the equation.

By adding 8 to both sides, we obtain:

12x - 8 + 8 = -24 + 8

Simplifying, we get:

12x = -16

Now, our equation is 12x = -16.

To solve for x, we divide both sides of the equation by 12.

Dividing both sides by 12 gives us:

x = -16/12

Simplifying further, we get:

x = -4/3

So the solution to the equation is x = -4/3.