Sure, let's solve the equation step by step.
Given the equation:
[tex]\[ 16x - 4 + 5x = -67 \][/tex]
1. Combine Like Terms on the Left-Hand Side:
Combine the terms that contain [tex]\( x \)[/tex]:
[tex]\[ 16x + 5x - 4 = -67 \][/tex]
This simplifies to:
[tex]\[ 21x - 4 = -67 \][/tex]
2. Isolate the Term with [tex]\( x \)[/tex]:
To isolate the term with [tex]\( x \)[/tex], add 4 to both sides of the equation:
[tex]\[ 21x - 4 + 4 = -67 + 4 \][/tex]
This simplifies to:
[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]
Simplifying the right-hand side:
[tex]\[ x = -3 \][/tex]
Therefore, the solution for [tex]\( x \)[/tex] is:
[tex]\[ \boxed{-3} \][/tex]
So, the correct answer is:
[tex]\[ \text{B. } x = -3 \][/tex]
