Answered

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Which answer choice is a solution to the equation [tex]\(3x - 2 = 7\)[/tex]?

A. 3
B. [tex]\(\frac{5}{3}\)[/tex]
C. 9
D. 7

Sagot :

GinnyAnswer
To determine the solution to the equation [tex]\(3x - 2 = 7\)[/tex], we will follow these step-by-step instructions:

1. Start with the given equation:
[tex]\[ 3x - 2 = 7 \][/tex]

2. Add 2 to both sides of the equation to isolate the term with the variable [tex]\(x\)[/tex]:
[tex]\[ 3x - 2 + 2 = 7 + 2 \][/tex]
Simplifying this, we get:
[tex]\[ 3x = 9 \][/tex]

3. Next, divide both sides of the equation by 3 to solve for [tex]\(x\)[/tex]:
[tex]\[ \frac{3x}{3} = \frac{9}{3} \][/tex]
Simplifying this, we get:
[tex]\[ x = 3 \][/tex]

Thus, the solution to the equation [tex]\(3x - 2 = 7\)[/tex] is [tex]\(x = 3\)[/tex].

Therefore, the correct answer choice is:
[tex]\[ \boxed{3} \][/tex]
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