Question

Solve for x. 9(x + 1) = 25 + x

Answer 1

9(x+1) = 25 + x
9x + 9 = 25 + x
8x = 25 - 9
8x = 16
x = 2

Answer 2

Given the equation: 9(x+1) = 25+x

Distributive property of multiplication over addition states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately i,e,

`a\cdot (b+c)=a\cdot b+a\cdot c`

Then, by using distributive property on LHS in the given equation we have;

9x+9 =25 +x

Subtract 9 from both the sides;

9x+9-9=25+x-9

Simplify:

9x = 16+x

Subtract x from both the sides we get;

9x-x=16+x-x

Simplify:

8x=16

Divide both sides by 8 we have;

`(8x)/(8)= (16)/(8)`

On Simplify:

x =2

Therefore, the value of x for the equation 9(x+1) = 25+x is, 2