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Solve [tex]\( p x + 17 = 12 \)[/tex] for [tex]\( x \)[/tex].

A. [tex]\( x = p - 5 \)[/tex]
B. [tex]\( x = -5 - p \)[/tex]
C. [tex]\( x = \frac{29}{p} \)[/tex]
D. [tex]\( x = -\frac{5}{p} \)[/tex]

Sagot :

GinnyAnswer
To solve the equation [tex]\( p \cdot x + 17 = 12 \)[/tex] for [tex]\( x \)[/tex], follow these steps:

1. Isolate the term involving [tex]\( x \)[/tex]:
Start by subtracting 17 from both sides of the equation:
[tex]\[ p \cdot x + 17 - 17 = 12 - 17 \][/tex]
Simplify the equation:
[tex]\[ p \cdot x = 12 - 17 \][/tex]
[tex]\[ p \cdot x = -5 \][/tex]

2. Solve for [tex]\( x \)[/tex]:
Next, divide both sides of the equation by [tex]\( p \)[/tex] to solve for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{-5}{p} \][/tex]

So, the solution to the equation [tex]\( p \cdot x + 17 = 12 \)[/tex] for [tex]\( x \)[/tex] is [tex]\( x = \frac{-5}{p} \)[/tex].

This corresponds to option D:
[tex]\[ \boxed{x = -\frac{5}{p}} \][/tex]
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