Solve the equation:

[tex]3x + 7 = 16 + 2x[/tex]

Options:

A. [tex]x = 7[/tex]

B. [tex]x = 9[/tex]

C. [tex]x = 11[/tex]

D. [tex]x = 10[/tex]

Answer :

Let's solve the equation step-by-step:

The equation is:
[tex]\[ 3x + 7 = 16 + 2x \][/tex]

Step 1: Move all terms involving [tex]\( x \)[/tex] to one side.

To do this, subtract [tex]\( 2x \)[/tex] from both sides:
[tex]\[ 3x + 7 - 2x = 16 + 2x - 2x \][/tex]

Simplify the terms:
[tex]\[ x + 7 = 16 \][/tex]

Step 2: Isolate [tex]\( x \)[/tex] by getting rid of the constant on the left side.

Subtract 7 from both sides:
[tex]\[ x + 7 - 7 = 16 - 7 \][/tex]

This simplifies to:
[tex]\[ x = 9 \][/tex]

So, the solution to the equation is [tex]\( x = 9 \)[/tex].