Let's solve the given equation [tex]\( x - \frac{3}{2} y = -12 \)[/tex] explicitly in terms of [tex]\( x \)[/tex].
### Step-by-Step Solution
1. Start with the given equation:
[tex]\[
x - \frac{3}{2} y = -12
\][/tex]
2. Isolate [tex]\( x \)[/tex] on one side of the equation:
[tex]\[
x = \frac{3}{2} y - 12
\][/tex]
Thus, the equation explicitly in terms of [tex]\( x \)[/tex] is:
[tex]\[
x = \frac{3}{2} y - 12
\][/tex]
This shows [tex]\( x \)[/tex] as a function of [tex]\( y \)[/tex].