Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

Question 3 (Multiple Choice)

Solve for [tex]\( x \)[/tex]:
[tex]\[ 6x + 3 = 5x - 8 \][/tex]

A. [tex]\(-11\)[/tex]
B. [tex]\(11\)[/tex]
C. [tex]\(-5\)[/tex]
D. [tex]\(5\)[/tex]


Sagot :

To solve the equation [tex]\(6x + 3 = 5x - 8\)[/tex], follow these steps:

1. Isolate the variable term on one side. To do this, subtract [tex]\(5x\)[/tex] from both sides of the equation:
[tex]\[ 6x + 3 - 5x = 5x - 8 - 5x \][/tex]
Simplifying this, we get:
[tex]\[ x + 3 = -8 \][/tex]

2. Isolate [tex]\(x\)[/tex]. Subtract 3 from both sides of the equation:
[tex]\[ x + 3 - 3 = -8 - 3 \][/tex]
Simplifying this, we have:
[tex]\[ x = -11 \][/tex]

Therefore, the solution to the equation [tex]\(6x + 3 = 5x - 8\)[/tex] is [tex]\(x = -11\)[/tex].

The correct multiple-choice answer is:
[tex]\[ -11 \][/tex]