Question

select the correct answer.
what is the solution for x in the equation?
16x - 4 + 5x = -67
a. x = \frac{1}{3}
b. x = 3
c. x = -\frac{1}{3}
d. x = -3

Explanation:

Step1: Combine like terms

Combine the \(x\)-terms on the left side: \(16x + 5x - 4 = -67\) simplifies to \(21x - 4 = -67\).

Step2: Add 4 to both sides

Add 4 to each side of the equation: \(21x - 4 + 4 = -67 + 4\), which gives \(21x = -63\).

Step3: Solve for x

Divide both sides by 21: \(\frac{21x}{21} = \frac{-63}{21}\), so \(x = -3\).

Answer:

D. \( x = -3 \)