Respuesta :

given,

9(x+1) = 25 + x

expanding,

9x + 1 = 25 + x

bringing x to left hand side and taking 1 to right hand side with change in their respective signs,

9x - x = 25-1

=> 8x = 24

transposing 8 ,

=> x = 24/8 = 3

Hence x = 3

Answer:

Option [A]

Step-by-step explanation:

Hi student! Let me help you out on this question.

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First of all we need to use the distributive property and multiply 9 times x and 1.

[tex]\boldsymbol{9(x+1)=9\cdot x+9\cdot1=9x+9}[/tex]

[tex]\boldsymbol{9x+9=25+x}[/tex]

Subtract x from both sides

[tex]\boldsymbol{8x+9=25}[/tex]

Subtract 9 from both sides

[tex]\boldsymbol{8x=16}[/tex]

Next, divide both sides by 8

[tex]\boldsymbol{x=2}[/tex]

Hope that this helped! Best wishes.

[tex]\star\boldsymbol{Reach\:far.\:Aim\:high.\:Dream\:big.}[/tex]

-Greetings!-

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