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What is the solution to this equation?

[tex]\[ x + 14 = -6 \][/tex]

A. [tex]\( x = -20 \)[/tex]
B. [tex]\( x = 8 \)[/tex]
C. [tex]\( x = -8 \)[/tex]
D. [tex]\( x = 20 \)[/tex]

Sagot :

GinnyAnsweridn
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].
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