What number should be added to both sides of the equation x − 7/8 = −5 to find the value of x ?(1 point)

1 answer

To find the value of x, we need to add the same number to both sides of the equation x − 7/8 = −5. By doing this, we can isolate the variable x on one side of the equation.

Let's use a variable h to represent the number we need to add to both sides of the equation.

Adding h to both sides of x − 7/8 = −5, we get:

(x − 7/8) + h = −5 + h.

Now, to isolate x, we can subtract 7/8 from both sides:

(x − 7/8) + h - 7/8 = −5 + h - 7/8.

This simplifies to:

x + h - 7/8 = −5 + h - 7/8.

To find the value of x, we want to eliminate the terms involving h. To do this, we can subtract h from both sides:

x + h - 7/8 - h = −5 + h - 7/8 - h.

This simplifies to:

x - 7/8 = −5 - 7/8.

Now, we need to solve for x by isolating it on one side of the equation. To do this, we add 7/8 to both sides:

x - 7/8 + 7/8 = −5 - 7/8 + 7/8.

This simplifies to:

x = −5 - 7/8 + 7/8.

We can simplify the right side of the equation:

x = -5 + 0.

Therefore, the value of x is -5.