Question

Add:

1
2
(x+4)+
1
4
(4x−2)
. Answer should be in mixed number form.(1 point)

Answer 1

[AI-generated answer — Step-by-Step Bot]

To add the given expression, let's follow these steps:

Step 1: Simplify the expression inside the parentheses: (x+4)

The expression (x+4) remains the same as it cannot be simplified further.

Step 2: Add 1 to the simplified expression: (x+4) + 1

The expression becomes x + 4 + 1.

Step 3: Simplify the expression inside the parentheses: 4x - 2

The expression 4x - 2 remains the same as it cannot be simplified further.

Step 4: Add the result from Step 2 to the result from Step 3: (x + 4 + 1) + (4x - 2)

Combine like terms: x + 4 + 1 + 4x - 2

Step 5: Rearrange the terms to group like terms together: (x + 4x) + (4 + 1 - 2)

Combine like terms: 5x + 3

So, the final answer in mixed number form is 5x + 3.

Answer 2

[AI-generated answer — Explain Bot]

To add the given expressions and write the answer in mixed number form, follow these steps:

1. Simplify the given expressions:
(x + 4) + (4x - 2)

First, distribute the addition operation:
x + 4 + 4x - 2

Combine like terms:
5x + 2

2. Now, add the remaining numbers:
1 + 2 + 1 + 4

Combine like terms:
8

3. Combine the simplified expressions and the remaining number:
5x + 2 + 8

Combine like terms:
5x + 10

4. Convert the answer to mixed number form:
Since the given expression does not involve any fractions or decimals, it is already in its simplest form.

The final answer is:
5x + 10