Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

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]