Question

complete the process of solving the equation. fill in all missing terms and select all missing descriptions. simplify any fractions. 2(x + 6) = 20 2x + 12 = 20 2x = 8 x = \square divide both sides by 2

Explanation:

Step 1: Identify the first operation

To get from \(2(x + 6)=20\) to \(2x + 12 = 20\), we use the distributive property (multiply 2 by each term inside the parentheses: \(2\times x=2x\) and \(2\times6 = 12\)). So the description for \(2x+12 = 20\) is "Distribute the 2 (or Use the distributive property)".

Step 2: Identify the second operation

To get from \(2x + 12=20\) to \(2x=8\), we subtract 12 from both sides of the equation (because we want to isolate the term with \(x\)). So the description for \(2x = 8\) is "Subtract 12 from both sides".

Step 3: Solve for \(x\)

We are told to divide both sides by 2. So if \(2x=8\), then \(x=\frac{8}{2}=4\).

Answer:

• For the first dropdown (next to \(2x + 12=20\)): "Distribute the 2 (or equivalent description like Use the distributive property)"
• For the second dropdown (next to \(2x = 8\)): "Subtract 12 from both sides"
• For the box next to \(x=\) : \(4\)