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What is the solution to this equation?

[tex]\[ x + 8 = -3 \][/tex]

A. [tex]\( x = 11 \)[/tex]

B. [tex]\( x = -5 \)[/tex]

C. [tex]\( x = -11 \)[/tex]

D. [tex]\( x = 5 \)[/tex]


Sagot :

To solve the equation [tex]\( x + 8 = -3 \)[/tex], follow these steps:

1. Isolate the variable [tex]\( x \)[/tex]:
To isolate [tex]\( x \)[/tex], we need to get rid of the 8 that is added to [tex]\( x \)[/tex]. We can do this by subtracting 8 from both sides of the equation.

2. Subtract 8 from both sides:
[tex]\[ x + 8 - 8 = -3 - 8 \][/tex]

3. Simplify both sides:
On the left side, [tex]\( +8 \)[/tex] and [tex]\(-8\)[/tex] cancel each other out, leaving:
[tex]\[ x = -3 - 8 \][/tex]

4. Perform the subtraction on the right side:
[tex]\[ x = -11 \][/tex]

Therefore, the solution to the equation [tex]\( x + 8 = -3 \)[/tex] is [tex]\( x = -11 \)[/tex].

So, the correct answer is:
C. [tex]\( x = -11 \)[/tex]