This is what the equation looks like: [tex]\frac{-3}{2}x - 9 = -27[/tex]
First, we transpose the terms to the other side. So after transposing [tex]-9[/tex], you get: [tex]\frac{-3}{2}x = -27 + 9[/tex]
Add them and you get: [tex]\frac{-3}{2}x = -18[/tex]
Next we transpose the coefficient of [tex]x[/tex] which is [tex]\frac{-3}{2}[/tex] to the other side, and while doing so the operation changes to a division. When dividing rational numbers, you take the reciprocal so you get: [tex]x = -18 * \frac{-2}{3}[/tex]
Multiply them and you get: [tex]x = 12[/tex]
Therefore, Option D is the correct answer :D
