Please Justify. 8=2x-3

8+3=2x-3+3
11=2x
11/2=2x/2
5 1/2=x
Show me how to justify

8=2(5 1/2)-3

Do the calculations.

this is how I would do this one

8=2x -3
8-8= 2x -3 -8
0 =-11 + 2x
-2x = 11 + 2x -2x
2x = -11
2x/2 = 11/2
x=11/2

To justify the given equation 8=2x-3, we need to show the steps of solving the equation and transforming it into a true statement. Here's the step-by-step justification:

1. Start with the equation: 8 = 2x - 3.
2. Add 3 to both sides of the equation to isolate the term containing x: 8 + 3 = 2x - 3 + 3.
3. Simplify the equation: 11 = 2x.
4. Divide both sides of the equation by 2 to solve for x: 11 / 2 = 2x / 2.
5. Simplify the equation: 5 1/2 = x.

Therefore, by following the steps and performing the operations, we can justify that the solution to the equation 8=2x-3 is x = 5 1/2.