Question

question 4 of 5
select the correct answer.
what is the solution for x in the equation?
9x - 20 - 4x = 40
options: x = 1/4, x = 1/12, x = 12, x = 4

Explanation:

Step1: Combine like terms

Combine the \(x\)-terms: \(9x - 4x = 5x\), so the equation becomes \(5x - 20 = 40\).

Step2: Add 20 to both sides

Add 20 to each side: \(5x - 20 + 20 = 40 + 20\), which simplifies to \(5x = 60\).

Step3: Divide by 5

Divide both sides by 5: \(\frac{5x}{5} = \frac{60}{5}\), so \(x = 12\).

Answer:

\(x = 12\) (corresponding to the option "x = 12")