A triangle with an perimeter of 23x-7 has two sides with lengths of 5x+7 and 8x-9. What is the length of the third side?

The third side is 10x-5

Step-by-step explanation:

The perimeter of a triangle is given by

P = s1+s2+s3 where s is the side of the triangle

23x-7 = 5x+7 + 8x-9 + s3

Combine like terms

23x-7 = 13x - 2 + s3

Subtract 13x from each side

23x - 13x-7 = 13x-13x - 2 + s3

10x - 7 = - 2 + s3

Add 2 to each side

10x-7+2 = - 2+2 + s3

10x - 5 = s3

The third side is 10x-5