To solve the given equation [tex]\(2x - 6 = 22\)[/tex], let's follow the steps to isolate [tex]\(x\)[/tex]:
1. Add 6 to both sides of the equation:
[tex]\[
2x - 6 + 6 = 22 + 6
\][/tex]
This simplifies to:
[tex]\[
2x = 28
\][/tex]
2. Divide both sides by 2:
[tex]\[
\frac{2x}{2} = \frac{28}{2}
\][/tex]
This simplifies to:
[tex]\[
x = 14
\][/tex]
So, the correct solution to the equation [tex]\(2x - 6 = 22\)[/tex] is [tex]\(x = 14\)[/tex].
The correct process to solve the equation and the correct answer is:
- Add 6 to both sides of the equation, and then divide by 2. The solution is [tex]\(x = 14\)[/tex].
Therefore, the correct option is:
- Add 6 to both sides of the equation, and then divide by 2. The solution is [tex]\(x = 14\)[/tex].
