k(3x-2)=4-6x find the value of k

It’s -2 because you just divide both sides by (3x-2) to isolate k.

It looks like k = -2 because 3x times -2 = -6x and -2 times -2 = 4

To find the value of k in the equation k(3x-2)=4-6x, we can solve for x and then substitute it back into the equation to find k.

1. Distribute k to the terms inside parentheses:
3kx - 2k = 4 - 6x

2. Next, gather all the x terms on one side by adding 6x to both sides:
3kx + 6x - 2k = 4

3. Combine the x terms:
(3k + 6)x - 2k = 4

4. To isolate the x-term, subtract 4 from both sides:
(3k + 6)x - 2k - 4 = 0

5. Now, we can see that the left side of the equation can be rewritten as a single term in x by factoring out the common factor of x:
x(3k + 6) - 2k - 4 = 0

6. Finally, solve for x by dividing both sides of the equation by (3k + 6):
x = (2k + 4) / (3k + 6)

Now that we have the value of x, we can substitute it back into the original equation to find k.