The perimeter of a triangle is 24m-6 units. If two of the sides are 5m-7 units and 2m+5 units, what is the length of the third side?

The third side is 17m-4

Step-by-step explanation:

The perimeter of a triangle is the sum of the three sides. Call the third side x

x + 5m-7 + 2m+5 = 24m - 6

Combine like terms

x + 7m-2 = 24m - 6

Solve for x

Subtract 7m from each side

x + 7m-7m - 2 = 24m-7m - 6

x - 2 = 17m-6

Add 2 to each side

x-2+2 = 17m-6+2

x = 17m-4

The third side is 17m-4