College

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

[tex]3x + 7 = 16[/tex]

A. [tex]x = 4[/tex]
B. [tex]x = 7[/tex]
C. [tex]x = 3[/tex]
D. [tex]x = -7[/tex]

Answer :

To solve the equation [tex]\(3x + 7 = 16\)[/tex] for [tex]\(x\)[/tex], follow these steps:

1. Subtract 7 from both sides:
[tex]\[
3x + 7 - 7 = 16 - 7
\][/tex]
This simplifies to:
[tex]\[
3x = 9
\][/tex]

2. Divide both sides by 3 to solve for [tex]\(x\)[/tex]:
[tex]\[
\frac{3x}{3} = \frac{9}{3}
\][/tex]
This simplifies to:
[tex]\[
x = 3
\][/tex]

Thus, the solution to the equation [tex]\(3x + 7 = 16\)[/tex] is [tex]\(x = 3\)[/tex].