Atriangle has the following side lengths: x - 2, x, and 3x + 1. another triangle has the following side lengths: 2x - 5, x + 4, 6x - 7. if the perimeters of the two triangles are equal, what is x?

The perimeter is the sum of the lengths of the sides. The given information means ...

... (x-2) + x + (3x+1) = (2x-5) + (x+4) + (6x-7)

... 5x -1 = 9x -8 . . . . . simplify

... 0 = 4x -7 . . . . . . . . subtract the left side

... 0 = x -7/4 . . . . . . . .divide by the coefficient of x

... x = 7/4

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r3t40

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this