To solve the equation [tex]\(16x - 4 + 5x = -67\)[/tex], we'll follow these steps:
1. Combine like terms:
Combine the terms with [tex]\(x\)[/tex] on the left side of the equation:
[tex]\[
16x + 5x - 4 = -67
\][/tex]
Simplify the expression:
[tex]\[
21x - 4 = -67
\][/tex]
2. Isolate the term with [tex]\(x\)[/tex]:
Add 4 to both sides of the equation to isolate the term with [tex]\(x\)[/tex]:
[tex]\[
21x - 4 + 4 = -67 + 4
\][/tex]
Simplify the equation:
[tex]\[
21x = -63
\][/tex]
3. Solve for [tex]\(x\)[/tex]:
Divide both sides of the equation by 21 to solve for [tex]\(x\)[/tex]:
[tex]\[
x = \frac{-63}{21}
\][/tex]
Simplify the fraction:
[tex]\[
x = -3
\][/tex]
Thus, the solution for [tex]\(x\)[/tex] is [tex]\(\boxed{x = -3}\)[/tex].
Therefore, the correct answer is
A. [tex]\(x = -3\)[/tex]
