Question

What value of x makes this equation true?

12 x minus 15 equals 6 minus 3 x

Question 8 options:

7 over 3

3 over 7

5 over 7

7 over 5

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve for x, we need to isolate it on one side of the equation.

12x - 15 = 6 - 3x

First, let's combine like terms on the right side:

12x + 3x - 15 = 6

Next, let's combine like terms on the left side:

15x - 15 = 6

Now, let's isolate the variable by adding 15 to both sides:

15x - 15 + 15 = 6 + 15

This simplifies to:

15x = 21

Finally, divide both sides by 15 to solve for x:

x = 21/15

Simplifying the fraction, we have:

x = 7/5

Therefore, the correct answer is 7 over 5.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find the value of x that makes the equation true, let's solve for x step-by-step:

Step 1: Start with the given equation:
12x - 15 = 6 - 3x

Step 2: Combine like terms on both sides of the equation:
12x + 3x = 6 + 15

Step 3: Simplify:
15x = 21

Step 4: Divide both sides of the equation by 15 to isolate x:
x = 21 / 15

Step 5: Simplify the fraction:
x = 7 / 5

So, the value of x that makes the equation true is 7/5.

Answer 3

[AI-generated answer — Explain Bot]

To find the value of x that makes the equation true, we need to solve for x. Let's simplify the equation first:

12x - 15 = 6 - 3x

Let's combine like terms by adding 3x to both sides:

12x + 3x - 15 = 6 - 3x + 3x

Simplifying, we get:

15x - 15 = 6

Next, let's isolate the variable term by adding 15 to both sides:

15x - 15 + 15 = 6 + 15

Simplifying further, we have:

15x = 21

Finally, to solve for x, we divide both sides of the equation by 15:

(15x) / 15 = 21 / 15

Simplifying this equation yields:

x = 7 / 5

Therefore, the correct answer is 7 over 5.