Question

-2x-1= 3x+5/2

Answer 1

-2x - 1 = 3x + 5/2 -- subtract 3x from both sides
-2x - 3x - 1 = 5/2 -- add 1 to both sides
-2x - 3x = 5/2 + 1
-5x = 5/2 + 2/2
-5x = 7/2
x = (7/2) / -5
x = 7/2 * -1/5
x = - 7/10

or...
-2x - 1 = 3x + 5/2 -- multiply entire equation by 2
-4x - 2 = 6x + 5 -- subtract 6x from both sides
-4x - 6x - 2 = 5 -- add 2 to both sides
-4x - 6x = 5 + 2 -- combine like terms
-10x = 7 -- divide by -10
x = -7/10