Respuesta :

First, your equation would be set  up like this: 2x+x+2=5x-10. Then you would combine like terms. So:
2x+(1)x is 3x
3x +2=5x-10.
Then  you would combine like terms on opposite sides. This requires you to subtract the lesser number (Of the number/variable). So:
5x-3x = 2x
Now you have 2= 2x-10
Then add 10 on both sides (inverse operations)
now you have 12= 2x
Dived for x. X equals 6 
NOW PLUG IT BACK IN THE EQUATION! 
KL is x+2. = 6+2 is 8
Answers:
x= 6
KL = 8
______________

Now, for checking your answers, solve x for everything. 
so the equation for checking would be 2(6)+6+2=5(6)-10
And then order of operations:
12+6+2=30-10
20 = 30-10
20=20

Happy Solving!

The value of x is given by 6.

What is an Equation?

Eqaution is an mathematical relation between two mathematical quatities or variables using equal sign in between them.

What is Collinear points?

If three or more points lies on same straight line, then they are called as Collinear points to each other.

Here in the problem it is given that, the values are,

JK = 2x

KL = x+2

JL = 5x-10

and K lies between J and L

Hence J, K, L are collinear points.

So, the equation should be,

JK + KL = JL

2x + x + 2 = 5x - 10

3x + 2 = 5x - 10

5x - 3x = 2 + 10

2x = 12

x = 12/2

x = 6

Hence the required value of x is given by 6.

Learn more about Collinear Points here -

https://brainly.com/question/2234342

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