solve for x in the following?

5x - 4 + 6x = 10x + 4
11x = 10x + 8
x = 8

([5/2][x - 2]) + 3x = 5x + 2
5/2x - 5 = 2x + 2
5/2x - 4/2x = 2 + 5
1/2x = 7
x = 14

Answer: x = 14

Proof:
([5/2][14 - 2]) + 3(14) = 5(14) + 2
(5/2[12]) + 42 = 70 + 2
30 + 42 = 72
72 = 72

(5/2)x-2+3x=5x+2
multiply x to the numerator
5x/2-2+3x=5x+2
transpose
5x/2+3x-5x=2+2
5x/2-2x=4
divide both sides by 2(the denominator) to remove it
2(5x/2)-2x=4)2
5x-4x=8
x=8..

checking:
(5/2)x-2+3x=5x+2
(5/2)8-2+3(8)=5(8)+2
40/2-2+24=40+2
20-2+24=42
18+24=42
42=42

5/2(x) - 2 + 3x = 5x + 2
5x/2 + 3x - 5x = 2 + 2
2(5x/2 - 2x) = 2(4)
5x - 4x = 8
x = 8

(5/2)x -2 +3x = 5x+2
(5/2)x+3x = 5x+4
(5/2)x+(6/2)x = 5x+4
(11/2)x = 5x+4
(11/2)x-5x =4
(11/2)x-(10/2)x =4
(1/2)x =4
x =4(2/1)
x =8

5x- 3x -(5/2)x = -2 -2

-(1/2)x = -4

x = 8

2.5x -2 + 3x = 5x + 2
5.5x - 2 = 5x + 2
.5x = 4
x = 8

(First you get all variables to one side and constants to another).
(Then you equate x with the variables =] )

x=8