What is the difference between naming a segment and writing its distance?

Explained below

Step-by-step explanation:

In naming a segment, we are essentially naming a line that has definite starting and endpoints. For example if the starting point of the segment is A and the endpoint is B, we can name it "segment AB".

In another example, a segment can be named with a single letter. For example the point from A to B can be referred to as "segment y" if AB is part of maybe a square.

Whereas, in writing a distance, we are essentially writing the measurement of length between the two endpoints. For example if the distance between AB is 20 metres, we can write distance between AB = 20 metres

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.