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What is the solution to this equation?

[tex]x + 8 = -2[/tex]

A. [tex]x = -6[/tex]
B. [tex]x = 10[/tex]
C. [tex]x = 6[/tex]
D. [tex]x = -10[/tex]

Sagot :

GinnyAnswer
To solve the equation [tex]\( x + 8 = -2 \)[/tex], follow these steps:

1. Isolate the variable [tex]\( x \)[/tex]:
- To isolate [tex]\( x \)[/tex], we need to eliminate the constant term on the left side of the equation. Currently, [tex]\( x \)[/tex] is being added to 8. To undo this addition, we will subtract 8 from both sides of the equation.

2. Subtract 8 from both sides:
- [tex]\( x + 8 - 8 = -2 - 8 \)[/tex]
- Simplifying both sides, we get [tex]\( x = -10 \)[/tex]

So, the solution to the equation [tex]\( x + 8 = -2 \)[/tex] is [tex]\( x = -10 \)[/tex].

Therefore, the correct answer is:
D. [tex]\( x = -10 \)[/tex]
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