Final answer:
To find the length of each side of the equilateral triangle, set the given expressions for the sides equal to each other and solve for x. The length of each side can be found by substituting the value of x into any of the expressions a), b), or c).
Step-by-step explanation:
To find the length of each side of the equilateral triangle, we need to set the given expressions for the sides equal to each other. Since all sides of an equilateral triangle are equal, we can set the expressions equal to each other and solve for x.
a) 3x + 10 = 5x - 8
Subtract 3x from each side: 10 = 2x - 8
Add 8 to each side: 18 = 2x
Divide each side by 2: 9 = x
Therefore, x = 9.
The length of each side of the equilateral triangle is given by any of the expressions a), b), or c), so substituting x = 9 into any of them will give us the length of each side.