Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

al details were added for this assignment. solve the following equation…

Question

al details were added for this assignment.
solve the following equation for x:
$4 = -9x - 8$
enter your answer as an improper fraction, if necessary. do not include \x =\ in your answer.
provide your answer below:

Explanation:

Step1: Add 8 to both sides

To isolate the term with \( x \), we add 8 to both sides of the equation \( 4 = -9x - 8 \). This gives \( 4 + 8 = -9x - 8 + 8 \), which simplifies to \( 12 = -9x \).

Step2: Divide both sides by -9

Now, we divide both sides of the equation \( 12 = -9x \) by -9 to solve for \( x \). So, \( x=\frac{12}{-9} \), and simplifying the fraction (dividing numerator and denominator by their greatest common divisor, which is 3) gives \( x = -\frac{4}{3} \).

Answer:

\( -\frac{4}{3} \)