Of course! Let's solve the equation step by step:
The given equation is:
[tex]\[
\frac{x}{3} + \frac{5}{2} = \frac{-3}{2}
\][/tex]
Step 1: Isolate the term with [tex]\( x \)[/tex].
Subtract [tex]\(\frac{5}{2}\)[/tex] from both sides of the equation:
[tex]\[
\frac{x}{3} = \frac{-3}{2} - \frac{5}{2}
\][/tex]
Step 2: Combine the fractions on the right-hand side.
[tex]\[
\frac{x}{3} = \frac{-3 - 5}{2} = \frac{-8}{2} = -4
\][/tex]
So, we now have:
[tex]\[
\frac{x}{3} = -4
\][/tex]
Step 3: Solve for [tex]\( x \)[/tex].
Multiply both sides by 3 to get rid of the fraction:
[tex]\[
x = -4 \times 3 = -12
\][/tex]
Thus, the solution to the equation is:
[tex]\[
x = -12
\][/tex]
So, the correct answer is:
(b) -12
