Jackie is thinking of making extra money by typing papers on her word processor. if she wants to make $10 an hour, how much should she charge per page? assume that she can type 120 words per minute. (assume a page consists of 360 words.)

360 / 120 = 3 minutes per page
60 / 3 = 20 pages per hour
20 / 10 = 50 cents per page

To make this equation have infinitely many solutions, we want to end up with the equation x=x. With this equation, no matter what number we plug in for x, it will be a solution since it will equal itself.

-(x-8)+4x=2()+x
-x+8+4x=2()+x
-2x+8+4x=2()
2x+8=2()
x+4=()

Therefore if we plug x+4 into the equation we will find our equation with infinitely many solutions.

-(x-8)+4x=2(x+4)+x

We can check our solution:
-(x-8)+4x=2(x+4)+x
-x+8+4x=2x+8+x
3x+8=3x+8

Since the right and left side of the equation our equal, we know our solution works.