What value of x makes this equation true?

Question

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

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.