Question

complete the process of solving the equation. fill in all missing terms and select all missing descriptions. simplify any fractions. 4(x - 11) = -8 x - 11 = \boxed{} x =

Explanation:

Step1: Divide both sides by 4

Given the equation \(4(x - 11)=-8\), we divide both sides by 4. So, \(\frac{4(x - 11)}{4}=\frac{-8}{4}\), which simplifies to \(x - 11=-2\).

Step2: Add 11 to both sides

To solve for \(x\), we add 11 to both sides of the equation \(x - 11=-2\). That is, \(x-11 + 11=-2 + 11\), so \(x = 9\).

Answer:

First missing term: \(-2\) (from dividing both sides by 4: \(x - 11=\frac{-8}{4}=-2\))
Second missing term: \(9\) (from adding 11 to both sides: \(x=-2 + 11 = 9\))

(For the dropdowns, the first operation description would be "Divide both sides by 4" and the second would be "Add 11 to both sides", but since the question asks for the missing terms, the numerical answers are \(-2\) and \(9\) respectively.)