Question

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

Answer 1

The expression we have is:

$R=\frac{3(x-11)}{8}$

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:

$8R=8\times\frac{3(x-11)}{8}$

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:

$\frac{8R}{3}=\frac{3(x-11)}{3}$

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

$\frac{8R}{3}=x-11$

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

$\frac{8R}{3}+11=x-11+11$

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

$\frac{8R}{3}+11=x$

Answer:

$x=\frac{8R}{3}+11$