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 = 3 )
d. ( x = \frac{1}{3} )

Explanation:

Step1: Combine like terms

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

Step2: Add 4 to both sides

Add 4 to each side to isolate the term with \(x\): \(21x - 4 + 4=-67 + 4\), which simplifies to \(21x=-63\).

Step3: Divide by 21

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

Answer:

B. \(x = -3\)