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], follow these steps:

1. Add 5 to both sides: This will help isolate the term with [tex]\(x\)[/tex] on one side of the equation.
[tex]\[
3x - 5 + 5 = 16 + 5
\][/tex]
Simplifying gives:
[tex]\[
3x = 21
\][/tex]

2. Divide both sides by 3: This will solve for [tex]\(x\)[/tex] by eliminating the coefficient on [tex]\(x\)[/tex].
[tex]\[
x = \frac{21}{3}
\][/tex]
Simplifying gives:
[tex]\[
x = 7
\][/tex]

Therefore, the solution to the equation [tex]\(3x - 5 = 16\)[/tex] is [tex]\(x = 7\)[/tex].