Let's solve the equation [tex]\(x + 14 = -6\)[/tex] step-by-step to determine the value of [tex]\(x\)[/tex].
1. Understand the equation: We need to isolate [tex]\(x\)[/tex] on one side of the equation.
[tex]\(x + 14 = -6\)[/tex]
2. Subtract 14 from both sides:
To isolate [tex]\(x\)[/tex], we need to eliminate the [tex]\(+ 14\)[/tex] on the left side. We do this by subtracting 14 from both sides:
[tex]\[
x + 14 - 14 = -6 - 14
\][/tex]
3. Simplify both sides:
On the left side, [tex]\(14 - 14\)[/tex] simplifies to 0, leaving us with just [tex]\(x\)[/tex]:
[tex]\[
x = -6 - 14
\][/tex]
4. Perform the subtraction on the right side:
[tex]\[
-6 - 14 = -20
\][/tex]
5. Conclusion:
Therefore, the value of [tex]\(x\)[/tex] is:
[tex]\[
x = -20
\][/tex]
Given the choices:
- A. [tex]\(x = -20\)[/tex]
- B. [tex]\(x = 8\)[/tex]
- C. [tex]\(x = -8\)[/tex]
- D. [tex]\(x = 20\)[/tex]
The correct answer is A. [tex]\(x = -20\)[/tex].
