Question

fill in the blank 6 points
solve with steps.
|9 - 4x| = 15
as is: type your answer... or type your answer...
solve: x = -3/2 or x = type your answer...

Explanation:

Step1: Split absolute value equation

For $|A|=B$, $A=B$ or $A=-B$. So:
$9-4x=15$ $\text{OR}$ $9-4x=-15$

Step2: Solve first equation

Isolate $x$:
$-4x=15-9$
$-4x=6$
$x=\frac{6}{-4}=-\frac{3}{2}$

Step3: Solve second equation

Isolate $x$:
$-4x=-15-9$
$-4x=-24$
$x=\frac{-24}{-4}=6$

Answer:

As is: $9-4x=15$ OR $9-4x=-15$
Solve: $x = -\frac{3}{2}$ OR $x = 6$