Let's solve the given equation step-by-step to isolate [tex]\( x \)[/tex]:
The given equation is:
[tex]\[ -19 = x - 4 \][/tex]
To isolate [tex]\( x \)[/tex], we need to get rid of the constant term on the right-hand side of the equation. We can do this by adding 4 to both sides of the equation. Here's how:
[tex]\[ -19 + 4 = x - 4 + 4 \][/tex]
On the left-hand side of the equation, we simplify:
[tex]\[ -19 + 4 = -15 \][/tex]
On the right-hand side of the equation, the [tex]\( -4 \)[/tex] and [tex]\( +4 \)[/tex] cancel each other out, leaving us with:
[tex]\[ x \][/tex]
So the equation simplifies to:
[tex]\[ -15 = x \][/tex]
Therefore:
[tex]\[ x = -15 \][/tex]
The correct option from the given choices is:
D. [tex]\( x = -15 \)[/tex]
