One side of equilateral triangle is represented with the expression-2x+8 and other 3x-2 find perimeter

12 units

Step-by-step explanation:

Given that we are working with an equilateral triangle, we know that all sides are an equal length.

If one side measures to -2x + 8

and the other measures 3x -2

these expressions must equate to each other.

-2x + 8 = 3x - 2

Let's solve for x

-2x + 8 = 3x - 2        Add 2x to both sides

8 = 5x - 2                 Add 2 to both sides to combine like terms

10 = 5x                     Divide both sides by 5 to isolate x

2 = x

Plug 2 in for x in either given expression

3(2) - 2 = 4

Each side of the triangle measures to 4

Since all 3 sides are the same length, we can simply multiply 4 by 3 to obtain our perimeter

4 * 3 = 12