Answer:
The correct option is A) [tex]x=2[/tex]
Step-by-step explanation:
We need to solve the given expression for x.
Given expression is [tex]9(x+1)=25+x[/tex]
[tex]9(x+1)=25+x[/tex]
[tex]9x+9=25+x[/tex]
Subtract both the sides by x, in above equation
[tex]9x+9-x=25+x-x[/tex]
[tex]8x+9=25[/tex]
Subtract both the sides by 9,
[tex]8x+9-9=25-9[/tex]
[tex]8x=16[/tex]
Divide both the sides by 8, in above equation
[tex]x=\frac{16}{8}[/tex]
[tex]x=2[/tex]
Therefore, the correct option is A) [tex]x=2[/tex]