Let's solve the given equation step by step:
Given equation:
[tex]\[
6x - 3x + 12 = 2x + 6
\][/tex]
First, simplify the left side of the equation:
[tex]\[
(6x - 3x) + 12 = 2x + 6
\][/tex]
[tex]\[
3x + 12 = 2x + 6
\][/tex]
Next, let's isolate [tex]\(x\)[/tex] by subtracting [tex]\(2x\)[/tex] from both sides of the equation:
[tex]\[
3x - 2x + 12 = 6
\][/tex]
[tex]\[
x + 12 = 6
\][/tex]
Now, subtract 12 from both sides to solve for [tex]\(x\)[/tex]:
[tex]\[
x + 12 - 12 = 6 - 12
\][/tex]
[tex]\[
x = -6
\][/tex]
So, we have found that the solution to the equation is:
[tex]\[
x = -6
\][/tex]
In terms of the solution set:
A. The solution set is [tex]\(\{-6\}\)[/tex].
Thus, the correct choice is:
A. The solution set is [tex]\(\{-6\}\)[/tex].
