Solve for x: negative 3 over 2, multiplied by x minus 9 equals negative 27 −24 −12 11 12 Btw please show the work bc i not only want the answer, i also want to understand it too

Respuesta :

Answer:

[tex]\boxed{ x = 12}[/tex]

Step-by-step explanation:

Given Equation is:

[tex]\frac{-3}{2} (x) - 9 = -27[/tex]

Adding 9 to both sides

=> [tex]\frac{-3x}{2} = -27+9[/tex]

=> [tex]\frac{-3x}{2} = -18[/tex]

Multiplying 2 to both sides

=> -3x = -18 * 2

=> -3x = -36

Dividing both sides by -3

=> x = 12

The answer is -24. First, add 9 to both sides to cancel it out; you get negative 3 over 2 equals 36. Then, you multiply both sides by negative 2 over 3 to cancel out the fraction and you get -24.