Question

how do you work out 5x + 5 = 2x + 11 in steps with a lot of detail?

Answer 1

first we have to get the variables on one side and the numbers on the other
5x+5=2x+11
    -5        -5
5x=2x+6
-2x  -2x

3x=6

now that we have that we can solve for x

since divition undos multiplication we can divide

3x=6
--   --
3    3

x=2    is our final answer