214k views
5 votes
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Write the expression in the simplest form. (-11\2x + 3) - 2 (-11/4x - 5/2) = ___

Type the correct answer in the box. Use numerals instead of words. If necessary, use-example-1

2 Answers

5 votes

Final answer:

The expression (-11/2x + 3) - 2 (-11/4x - 5/2) simplifies to 8 after distributing and combining like terms.

Step-by-step explanation:

Solving the expression (-11/2x + 3) - 2 (-11/4x - 5/2) involves distributing the negative sign through the second set of parentheses and combining like terms.

First, let's distribute the -2:

-2 * (-11/4x) = 11/2x
-2 * (-5/2) = 5

Now, the expression becomes:

(-11/2x + 3) + 11/2x + 5.

Combine like terms:

-11/2x + 11/2x + 3 + 5

The x terms cancel out, yielding:

3 + 5 which simplifies to 8.

Therefore, the expression in the simplest form is 8.

User Liquidpenguins
by
5.6k points
3 votes

The answer to the question of the correct answer in the box. For the expression (-11\2x + 3) - 2 (-11/4x - 5/2) =

The answer is 8

Proof

Type the correct answer in the box. Use numerals instead of words. If necessary, use-example-1
User Michael Hobbs
by
5.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.