Answer:
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,
[tex]a\cdot (b+c)=a\cdot b+a\cdot c[/tex]
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;
[tex]\frac{8x}{8}= \frac{16}{8}[/tex]
On Simplify:
x =2
Therefore, the value of x for the equation 9(x+1) = 25+x is, 2
