Select the correct answer.

What is the solution for [tex]x[/tex] in the equation?

[tex]16x - 4 + 5x = -67[/tex]

A. [tex]x = -3[/tex]
B. [tex]x = 3[/tex]
C. [tex]x = \frac{1}{3}[/tex]
D. [tex]x = -\frac{1}{3}[/tex]



Answer :

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]