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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], we follow these steps:

1. Isolate the variable [tex]\( x \)[/tex]:
The goal is to get [tex]\( x \)[/tex] by itself on one side of the equation. To do this, we need to eliminate the constant term on the same side as [tex]\( x \)[/tex].

2. Subtract 8 from both sides of the equation to move the constant term:
[tex]\[ x + 8 - 8 = -2 - 8 \][/tex]

3. Simplify both sides:
On the left side, [tex]\( 8 - 8 \)[/tex] cancels out, leaving us with [tex]\( x \)[/tex].
On the right side, [tex]\( -2 - 8 \)[/tex] simplifies to [tex]\( -10 \)[/tex].

So, we get:
[tex]\[ x = -10 \][/tex]

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

The correct answer is B. [tex]\( x = -10 \)[/tex].
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