What value(s) of x will make this true.

2x-6=3x+1-x-7

0 * x = 1

x = 1 / 0 undefined

2x-6=3x+1-x-7

2x-6 = 2x-6
This is true for any value of x.

To find the value(s) of x that make the equation true, we need to simplify and solve for x.

First, let's simplify the equation step by step:

2x - 6 = 3x + 1 - x - 7

Combine like terms:

2x - 6 = 2x - 6

Now, since the equation simplifies to 2x - 6 = 2x - 6, we can see that no matter what value we choose for x, it will always satisfy the equation. Hence, the equation holds true for any value of x.

In mathematical terms, we say the solution is "all real numbers" or "x can be any real number."

So, the answer is any value of x will make the equation true.