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What is the solution to this equation?

[tex]\[ x - 13 = -4 \][/tex]

A. [tex]\( x = -17 \)[/tex]
B. [tex]\( x = 9 \)[/tex]
C. [tex]\( x = 17 \)[/tex]
D. [tex]\( x = -9 \)[/tex]


Sagot :

Sure, let's solve the equation step-by-step:

Given equation:
[tex]\[ x - 13 = -4 \][/tex]

To find the value of [tex]\( x \)[/tex], we need to isolate [tex]\( x \)[/tex] on one side of the equation. We achieve this by eliminating the -13 on the left side.

Step 1: Add 13 to both sides of the equation to cancel out the -13 on the left side:
[tex]\[ x - 13 + 13 = -4 + 13 \][/tex]

Step 2: Simplify both sides:
[tex]\[ x = 9 \][/tex]

Therefore, the solution to the equation [tex]\( x - 13 = -4 \)[/tex] is [tex]\( x = 9 \)[/tex].

So, the correct answer is:
B. [tex]\( x = 9 \)[/tex]