What is the solution of the equation 52x = −18? (1 point)

−5/16
−1/20
−20
1/20

1 answer

To solve the equation \(52x = -18\), you need to isolate \(x\). You can do this by dividing both sides of the equation by 52:

\[ x = \frac{-18}{52} \]

Now, simplify \(-\frac{18}{52}\). Both 18 and 52 can be divided by 2:

\[ x = \frac{-9}{26} \]

Now, we'll need to check if \(-\frac{9}{26}\) corresponds to any of the provided options:

  • \(-\frac{5}{16}\)
  • \(-\frac{1}{20}\)
  • \(-20\)
  • \(\frac{1}{20}\)

None of these options are equivalent to \(-\frac{9}{26}\), which suggests that there may have been an error regarding the options provided or their relation to the equation.

Therefore, the solution to the equation \(52x = -18\) is \(x = -\frac{9}{26}\), which does not match any of the options given.