Question

R=3(x-11)^8 solve for x

Answer 1

The expression we have is:

`R=(3(x-11))/(8)`

And we need to solve this expression for the variable x.

Step 1. The first step will be to multiply both sides of the equation by 8 in order to cancel the 8 in the denominator on the right-hand side of the equation:

`8R=8*(3(x-11))/(8)`

On the left-hand side, we get 8R, and on the right-hand side we will be left with 3(x-11):

`8R=3(x-11)`

Step 2. We continue dividing both sides by 3:

`(8R)/(3)=(3(x-11))/(3)`

This is in order to eliminate the three on the right-hand side and we will be left with x-11:

`(8R)/(3)=x-11`

Step 3. The final step is to add 11 to both sides of the equation:

`(8R)/(3)+11=x-11+11`

On the right-hand side, -11+11 is equal to 0, and thus we have solved for x:

`(8R)/(3)+11=x`

Answer:

`x=(8R)/(3)+11`