Question

Solve for x: [2x-7]=13

Answer 1

x=10

Answer 2

you need to solve:
\[2x-7\ge 13, 2x-7<14\]
assuming those brackets are the greatest integer function.

Answer 3

transpose -7 to right hand side
2x- 7 = 13
2x = 13 + 7
2x = 20
divide both sides by 2
2x/2 = 20/2
x = 10

Answer 4

what are those brackets? are you treating them just like parenthesis?
The greatest integer function gives the greatest integer less than or equal to x, for example:
[5.5] = 5
[4.999999999] = 4
[-3.2] = -4