Find the measure of the sides of an equilateral PQR if PQ = 5x - 7 and PR = 2x +5.

I cannot understand this!

An equilateral triangle PQR has all sides of equal lengths.

If PQ = 5x - 7, and
PR = 2x +5, then we can conclude that
PQ=PR, or
5x-7=2x+5
Solve for x
5x-2x = 5+7
3x = 12
x = 4
Substitute x=4 into 5x-7 to get

So each side of the triangle is 5*4-7=13 units in length.

To find the measure of the sides of an equilateral triangle, we need to set up an equation using the given information.

In an equilateral triangle, all sides are equal in length. Let's assume that all three sides of triangle PQR are equal and have the same length, which we can call "s".

Now, we are given that PQ has a length of 5x - 7 and PR has a length of 2x + 5. Using this information, we can set up the following equation:

PQ = PR

(5x - 7) = (2x + 5)

Now, we can solve this equation for x. To do that, we'll first simplify the equation by combining like terms:

5x - 7 = 2x + 5

Next, we'll isolate the variable x by moving all terms involving x to one side of the equation:

5x - 2x = 5 + 7

3x = 12

Finally, we'll solve for x by dividing both sides of the equation by 3:

x = 4

Now that we have the value of x, we can substitute it back into the original expressions for PQ and PR to find their respective lengths:

PQ = 5x - 7 = 5(4) - 7 = 20 - 7 = 13

PR = 2x + 5 = 2(4) + 5 = 8 + 5 = 13

Therefore, based on the given information, the measure of the sides of equilateral triangle PQR is 13 units.