To solve the equation [tex]\( \frac{x}{10} = -7 \)[/tex] for [tex]\( x \)[/tex], follow these steps:
1. Start with the given equation:
[tex]\[
\frac{x}{10} = -7
\][/tex]
2. To isolate [tex]\( x \)[/tex], multiply both sides of the equation by 10, since [tex]\( x \)[/tex] is being divided by 10:
[tex]\[
10 \cdot \frac{x}{10} = 10 \cdot (-7)
\][/tex]
3. The [tex]\( 10 \)[/tex] and [tex]\( \frac{1}{10} \)[/tex] on the left side cancel each other out, leaving:
[tex]\[
x = -70
\][/tex]
Thus, the solution to the equation [tex]\( \frac{x}{10} = -7 \)[/tex] is:
[tex]\[
x = -70
\][/tex]
Therefore, the correct answer is [tex]\( A. \, x = -70 \)[/tex].
