Question

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

Answer 1

To find the value of \( x \) in the equation \( x - \frac{7}{8} = -5 \), we need to isolate \( x \). To do this, we can add \(\frac{7}{8}\) to both sides of the equation.

So the number that should be added to both sides is \( \frac{7}{8} \).

Adding \( \frac{7}{8} \) gives us:

\[
x - \frac{7}{8} + \frac{7}{8} = -5 + \frac{7}{8}
\]

This simplifies to:

\[
x = -5 + \frac{7}{8}
\]

Now, you can convert \(-5\) to a fraction with a denominator of 8:

\[
-5 = -\frac{40}{8}
\]

Now we can perform the addition:

\[
x = -\frac{40}{8} + \frac{7}{8} = -\frac{33}{8}
\]

Therefore, the value of \( x \) is \( -\frac{33}{8} \).