To solve the equation [tex]\(-19 = x - 4\)[/tex], let's follow these steps:
1. Identify the goal: We need to isolate [tex]\(x\)[/tex] on one side of the equation.
2. Add 4 to both sides: This operation will help to isolate [tex]\(x\)[/tex].
[tex]\[
-19 + 4 = x - 4 + 4
\][/tex]
3. Simplify both sides:
[tex]\[
-19 + 4 = x
\][/tex]
4. Perform the arithmetic on the left side:
[tex]\[
-19 + 4 = -15
\][/tex]
5. Conclude the solution:
[tex]\[
-15 = x
\][/tex]
Therefore, the correct solution is [tex]\(\boxed{-15}\)[/tex].
The answer is:
D. [tex]\(x = -15\)[/tex]
