Question

SSolve for x. 9(x + 1) = 25 + x x = 2 x = 3 x = 4 x = 5

Answer 1

Answer:

Option [A]

Step-by-step explanation:

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

$\boldsymbol{9(x+1)=9\cdot x+9\cdot1=9x+9}$

$\boldsymbol{9x+9=25+x}$

Subtract x from both sides

$\boldsymbol{8x+9=25}$

Subtract 9 from both sides

$\boldsymbol{8x=16}$

Next, divide both sides by 8

$\boldsymbol{x=2}$

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Answer 2

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