The linear equation 2x - 5 = 3x + 4 can be written as
5 = 2x + 4
-5 = -5x + 4
2x = -18
-2x + 10 = 8
2x - 5 = 3x + 4
Transposing 2x to RHS and 4 to LHS,
-5 - 4 = 3x - 2x
-9 = x
or 2x = -18 (Multiplying both sides by 2)
The statement "7 subtracted from 3 times half a number gives 5" can be written in a linear equation as