Question

Simplify the expression and explain each step
6+(5+x)

Answer 1

To simplify 6+(5+x), combine like terms by adding the constants together to get 11+x. This is done by using the associative property of addition, which allows terms to be added in any order; the simplified result with x is 11+x.

Step-by-step explanation:

To simplify the expression 6+(5+x), we begin by recognizing that the parentheses are used to group terms that are to be considered as a single unit. Since there is no operation such as multiplication or division affecting the terms inside the parentheses, we can simplify the expression by using the associative property of addition, which allows us to add numbers together in any order.

Let's rewrite the expression without the parentheses:

6 + 5 + x

Now, we combine the like terms, which are the constant numbers 6 and 5:

11 + x

This gives us our simplified expression. Now we will eliminate terms wherever possible to simplify the algebra. Following step 7, we check to see if the answer is reasonable, which it is, since we combined like terms correctly.

Answer 2

First, we get rid of the parenthesis.

6 + 5 + x

Next, add the like terms: 6 + 5

6 + 5 = 11

11 + x

Then, because we don't know the value of x, the simplest version is 11 + x