Question

What is the solution of the equation 52x = −18
5
2
𝑥

=

−
1
8
?(1 point)
Responses

−516
−
5
16
negative Start Fraction 5 over 16 End Fraction

−20
−
20
negative 20

−120
−
1
20
negative Start Fraction 1 over 20 End Fraction

120/

Answer 1

To solve the equation \( 52x = -\frac{1}{8} \), follow these steps:

1. Divide both sides of the equation by 52:

\[
x = \frac{-\frac{1}{8}}{52}
\]

2. This can be simplified by rewriting it as:

\[
x = -\frac{1}{8 \cdot 52}
\]

3. Now, calculate \( 8 \cdot 52 \):

\[
8 \cdot 52 = 416
\]

4. This gives us:

\[
x = -\frac{1}{416}
\]

5. Since \( -\frac{1}{416} \) does not match any options provided, let's check if we can express \( 52 \) as a fraction that may lead to an equivalent negative fraction.

However, reviewing the options carefully, the one that matches for simplification introduces confusion.

Thus the solution of the equation is:

\[
x = -\frac{1}{416}
\]

Please verify your original equation if you'd like to clarify options since negative fractions can shift decimal notations in responses.