What number should be added to both sides of the equation x-7=1to solve for the value of x?

To solve for the value of x, you need to isolate x by getting rid of the -7 on the left side of the equation. To do this, you can add 7 to both sides:

(x - 7) + 7 = 1 + 7

Simplifying both sides gives you:

x = 8

So, by adding 7 to both sides of the equation x - 7 = 1, you can solve for the value of x, which is 8.