Verified Answer :

\(x-9+2wx=y\ \ \ \ |add\ 9\ to\ both\ sides\\\\x+2wx=y+9\\\\x(1+2w)=y+9\ \ \ \ |divide\ both\ sides\ by\ (1+2w)\\\\\boxed{x=\frac{y+9}{1+2w}}\)

Answer:

\(x=\frac{y+9}{1+2w}\)

Step-by-step explanation:

Given : Expression \(x-9+2wx=y\)

To find : Solve for x ?

Solution :

Step 1 - Write the expression,

\(x-9+2wx=y\)

Step 2 - Add 9 both side,

\(x+2wx=y+9\)

Step 3 - Take x common,

\(x(1+2w)=y+9\)

Step 4- Divide by 1+2w  both side,

\(x=\frac{y+9}{1+2w}\)

Therefore, The value for x is \(x=\frac{y+9}{1+2w}\)