Answered

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What is the solution to the following equation?

[tex]\( x + (-13) = -5 \)[/tex]

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

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

C. [tex]\( x = -18 \)[/tex]

D. [tex]\( x = 18 \)[/tex]

Sagot :

GinnyAnswer
Let's solve the given equation step by step:

The original equation is:
[tex]\[ x + (-13) = -5 \][/tex]

First, we can rewrite this to make it simpler:
[tex]\[ x - 13 = -5 \][/tex]

Next, we want to isolate [tex]\( x \)[/tex]. To do this, we need to get rid of the [tex]\(-13\)[/tex] on the left side. We will add 13 to both sides of the equation.

Adding 13 to both sides, we get:
[tex]\[ x - 13 + 13 = -5 + 13 \][/tex]

Simplify both sides:
[tex]\[ x = -5 + 13 \][/tex]

Now, perform the addition on the right side:
[tex]\[ x = 8 \][/tex]

So, the solution to the equation [tex]\( x + (-13) = -5 \)[/tex] is:
[tex]\[ x = 8 \][/tex]

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