Answered

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What is the solution to this equation?

[tex]\[ x - 12 = -4 \][/tex]

A. [tex]\( x = 16 \)[/tex]

B. [tex]\( x = -16 \)[/tex]

C. [tex]\( x = 8 \)[/tex]

D. [tex]\( x = -8 \)[/tex]

Sagot :

GinnyAnswer
To solve the equation [tex]\( x - 12 = -4 \)[/tex], we need to isolate the variable [tex]\( x \)[/tex]. Here are the detailed steps:

1. Start with the given equation:
[tex]\[ x - 12 = -4 \][/tex]

2. To isolate [tex]\( x \)[/tex], add 12 to both sides of the equation to cancel out the [tex]\(-12\)[/tex] on the left side:
[tex]\[ x - 12 + 12 = -4 + 12 \][/tex]

3. Simplify the equation by combining like terms on both sides:
[tex]\[ x = -4 + 12 \][/tex]

4. Calculate the right-hand side:
[tex]\[ -4 + 12 = 8 \][/tex]

Thus, the solution to the equation [tex]\( x - 12 = -4 \)[/tex] is:
[tex]\[ x = 8 \][/tex]

Therefore, the correct answer is:
C. [tex]\( x = 8 \)[/tex]
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