Question

Solve for .
(1 point)
x
−12 + x = 48
x = 36
x = −36
x = 60
x = −60

Answer 1

To solve the equation \( \frac{x}{-12} + x = 48 \), let's first get rid of the fraction by multiplying every term by \(-12\):

\[
x + (-12x) = 48 \times (-12)
\]

This simplifies to:

\[
x - 12x = -576
\]

Combine the terms on the left:

\[
-11x = -576
\]

Now, divide both sides by \(-11\):

\[
x = \frac{-576}{-11}
\]

Simplifying this gives:

\[
x = \frac{576}{11}
\]

Since \(576\) is not divisible by \(11\) evenly, and none of the provided answer choices \(36, -36, 60, -60\) are solutions for this equation, there seems to be a mistake in the interpretation of the problem or its options.

If we check \(x + \frac{x}{-12} = 48\), simplifying ends up in the same equation which we already solved. Thus, none of the options given is correct based on my calculations.

If you'd like me to double-check any other parts or clarify anything further, please let me know!