Question

question
solve the following equation for x:
-5 = -6x + 9
enter your answer as an improper fraction, if necessary.
provide your answer below.
x =

Explanation:

Step1: Subtract 9 from both sides

To isolate the term with \( x \), we subtract 9 from both sides of the equation \( -5 = -6x + 9 \).
\[
-5 - 9 = -6x + 9 - 9
\]
Simplifying the left and right sides:
\[
-14 = -6x
\]

Step2: Divide both sides by -6

To solve for \( x \), we divide both sides of the equation \( -14 = -6x \) by -6.
\[
x=\frac{-14}{-6}
\]
Simplifying the fraction by canceling out the common factor of -2:
\[
x = \frac{7}{3}
\]

Answer:

\( x=\frac{7}{3} \)