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What is the solution to this equation?

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

A. [tex]\[ x = -10 \][/tex]

B. [tex]\[ x = 10 \][/tex]

C. [tex]\[ x = 6 \][/tex]

D. [tex]\[ x = -6 \][/tex]


Sagot :

To solve the given equation [tex]\( x + 8 = -2 \)[/tex], we need to isolate the variable [tex]\( x \)[/tex]. Here are the steps:

1. Subtract 8 from both sides:
To get [tex]\( x \)[/tex] by itself, we subtract 8 from both sides of the equation.
[tex]\[ x + 8 - 8 = -2 - 8 \][/tex]

2. Simplify the equation:
On the left side, [tex]\( x + 8 - 8 \)[/tex] simplifies to [tex]\( x \)[/tex].
On the right side, [tex]\( -2 - 8 \)[/tex] simplifies to [tex]\( -10 \)[/tex].
So, we have:
[tex]\[ x = -10 \][/tex]

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

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