To solve the equation [tex]\( x + 14 = -6 \)[/tex], we need to isolate the variable [tex]\( x \)[/tex]. Here is a step-by-step solution:
1. Start with the given equation:
[tex]\[
x + 14 = -6
\][/tex]
2. Subtract 14 from both sides of the equation to isolate [tex]\( x \)[/tex]:
[tex]\[
x + 14 - 14 = -6 - 14
\][/tex]
3. Simplify both sides:
[tex]\[
x = -6 - 14
\][/tex]
4. Perform the arithmetic on the right-hand side:
[tex]\[
x = -20
\][/tex]
So the solution to the equation [tex]\( x + 14 = -6 \)[/tex] is:
[tex]\[
x = -20
\][/tex]
Therefore, the correct answer is:
C. [tex]\( x = -20 \)[/tex]
