College

Solve the equation for [tex]x[/tex]:

[tex]3x - 5 = 16[/tex]

A. [tex]x = 7[/tex]
B. [tex]x = 11[/tex]
C. [tex]x = 21[/tex]
D. [tex]x = 3[/tex]

Answer :

To solve the equation [tex]\(3x - 5 = 16\)[/tex] for [tex]\(x\)[/tex], follow these steps:

1. Add 5 to both sides:
[tex]\[
3x - 5 + 5 = 16 + 5
\][/tex]
This simplifies to:
[tex]\[
3x = 21
\][/tex]

2. Divide both sides by 3 to solve for [tex]\(x\)[/tex]:
[tex]\[
x = \frac{21}{3}
\][/tex]
This further simplifies to:
[tex]\[
x = 7
\][/tex]

So, the solution to the equation is [tex]\(x = 7\)[/tex]. Therefore, the correct answer is A. [tex]\(x = 7\)[/tex].

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