What number should be added to both sides of the equation x - 7 = 1 to solve for the value of ?
To solve for the value of x, we need to isolate x on one side of the equation. To do this, we can add the same number to both sides of the equation. In this case, we need to determine which number to add to both sides.
We want to cancel out the -7 on the left side of the equation, so we need to add 7 to both sides:
(x - 7) + 7 = 1 + 7
Simplifying the equation gives:
x - 7 + 7 = 1 + 7
The -7 and +7 on the left side cancel out, leaving us with:
x = 1 + 7
So, x = 8.
Therefore, the number that should be added to both sides of the equation x - 7 = 1 to solve for the value of x is +7.