Section: Math 0 Likes

How many solutions does the equation 4(x-2) = -2(x+4) have? (May 2023 U.S.)

Updated on 06/27/2024

How many solutions does the equation 4(x-2) = -2(x+4) have?

A. Zero
B. Exactly one
C. Exactly two
D. Infinitely many


Solution

Correct answer: B. Exactly one.
To solve this problem, we need to simplify the equation and then solve for the value of x.
The given equation is:
4(x-2) = -2(x+4)

Simplifying the equation:
4x - 8 = -2x - 8
6x = 0
x = 0

Now, let's check if there are any other solutions.
Substituting x = 0 back into the original equation:
4(0-2) = -2(0+4)
-8 = -8

The equation is satisfied when x = 0.
Therefore, the equation 4(x-2) = -2(x+4) has exactly one solution, which is x = 0.

Exam Edition: May 2023 U.S.

Exam Year: 2023

Related topics: Solving Linear Equations, Algebraic Manipulation

There are no comments yet.

Authentication required

You must log in to post a comment.
Log in to like this solution

Log in

Support us!
Subscribe Now

Cookies Consent

We use cookies to enhance your browsing experience, serve personalized ads or content, and analyze our traffic. By clicking "Accept All" you consent to our use of cookies. Privacy Policy.