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:

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