Answer: x=21
Step-by-step explanation:
To solve for x you must first combine you like terms on each side of the equal sign. So you problem will become 8x+1=22+7x. Then get your x on one side and your numbers on the other by taking the one away from the right side and 1 away from 22. Then take away 7 from the left side to cancel it out. Then take 7x away from 8x to leave you with x. making your answer x=21
 
        
                    
             
        
        
        

We'll represent Louise's, Tammy's, Delores's, and Sheryl's point values with  ,
,  ,
,  , and
, and  respectively since each one is 1 point more than the last.
 respectively since each one is 1 point more than the last.
Add all of these values up and set it all equal to  .
.

Now, simplify.

Subtract  on both sides.
 on both sides.

Divide both sides by  .
.

Since Louise's score is  , the answer is
, the answer is  .
.
<h3>Double-checking</h3>
To verify our answer, add the point totals  ,
,  ,
,  , and
, and  .
.
This equals  , so we can be sure the answer is correct.
, so we can be sure the answer is correct.