Question

solve $a(x - b) = c$ for $x$
$ax - ab = c$
$\quad\quad\quad + ab\quad + ab$
$ax = c + ab$
now what do we need to do to isolate the $x$ variable?
\\(\square\\) multiply both sides by $a$
\\(\square\\) divide both sides by $a$
\\(\square\\) subtract $a$ from both sides
rewatch

Explanation:

Step1: Analyze the equation after expansion

We have the equation \( ax = c + ab \) (from expanding \( a(x - b)=c \) and then adding \( ab \) to both sides).

Step2: Determine the operation to isolate \( x \)

To isolate \( x \), we need to get rid of the coefficient \( a \) that is multiplied by \( x \). The inverse operation of multiplication is division. So we divide both sides of the equation \( ax=c + ab \) by \( a \). This will give us \( x=\frac{c + ab}{a}\) (or simplified further if needed), which isolates \( x \).

Answer:

Divide both sides by a