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]
