To solve for [tex]\( x \)[/tex] in the equation [tex]\( \frac{x}{-4} = 4 \)[/tex], we need to isolate [tex]\( x \)[/tex]. Follow these steps:
1. Start with the given equation:
[tex]\[
\frac{x}{-4} = 4
\][/tex]
2. To isolate [tex]\( x \)[/tex], we need to eliminate the denominator [tex]\(-4\)[/tex]. We can do this by multiplying both sides of the equation by [tex]\(-4\)[/tex]:
[tex]\[
\left(\frac{x}{-4}\right) \times -4 = 4 \times -4
\][/tex]
3. Simplifying both sides:
- On the left side, multiplying by [tex]\(-4\)[/tex] cancels out the denominator:
[tex]\[
x = 4 \times -4
\][/tex]
4. Now, calculate the right side:
[tex]\[
4 \times -4 = -16
\][/tex]
Therefore, the value of [tex]\( x \)[/tex] is:
[tex]\[
x = -16
\][/tex]
