Question

−px+r=−8x−2 solve for x

Answer 1

-px+r = -8x-2
-px + 8x = -2 - r
x (8 - p) = -2 - r
x = (-2 - r) / (8 - p)

Answer 2

`x=- (2+r)/(8-p)`

Explanation:

Step 1: Put all terms with the variable x in the same side of the equation (-px and -8x):

In order to do this, we have to move the -8x from the right side to the left side of the equation, changing its sign. The other term without variable x (r) must be moved to the right side, applying the same rule (changing its sign)

`-px+r=-8x -2\\8x-px=-2-r`

Step 2: Factorise both sides of the equation, taking out the common terms:

In the left side, the common term is the variable x; and the common term in the right side is the minus sign:

`x(8-p)=-(2+r)`

Step 3: Finally, isolate x:

`x= - (2+r)/(8-p)`