Question

(03.04 MC) EXPLAIN!!!

Solve for x:
(-3/2)x - 9 = -27

Select one:
a. −24
b. −12
c. 11
d. 12

Answer 1

This is what the equation looks like:
`(-3)/(2)x - 9 = -27`

First, we transpose the terms to the other side. So after transposing
`-9`, you get:
`(-3)/(2)x = -27 + 9`

Add them and you get:
`(-3)/(2)x = -18`

Next we transpose the coefficient of
`x` which is
`(-3)/(2)` 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:
`x = -18 * (-2)/(3)`

Multiply them and you get:
`x = 12`

Therefore, Option D is the correct answer :D