Answer: Option C. 6x+8=3(2x+4)
Explanation:
Solution = S
No Solution = NS
( S ) A. 6x - 9 = 9x - 6
6x - 9 + 9 = 9x - 6 + 9
6x = 9x + 3
6x - 9x = 9x + 3 - 9x
-3x = 3
-3x/-3 = 3/-3
x = -1
( S ) B. 6 - (2x+3) = -4 (x + 1 ) + 7
6 - (2x+3)
6 - 2x - 3
-2x + 3
-2x + 3 = -4x + 3
-2x + 3 - 3 = -4x + 3 - 3
-2x = -4x
-2x + 4x = -4x +4x
2x = 0
2x/2 = 0/2
x = 0
( NS ) C. 6x + 8 = 3 (2x +4)
6x + 8 = 6x + 12
6x + 8 - 8 = 6x + 12 - 8
6x = 6x + 4
6x - 6x = 6x + 4 - 6x
0 = 4
The sides aren't equal; there is no solution
( S ) D. -3 + 4x = 13
-3 + 4x + 3 = 13 + 3
4x = 16
4x/4 = 16/4
x = 4