Answer:
Only [tex]3(x-6) +(4x + 12) - 6x=(3x + 4x - 6x)+(-9+12)[/tex].
Step-by-step explanation:
Given equation:[tex]3(x-6) +(4x + 12) - 6x =3x - 9+ 4x + 12-6x =(3x + 4x - 6x)+(-9+12) =x+3[/tex]
We have to prove the equations are equal or not.
So, considering first two equations
[tex]3(x-6) +(4x + 12) - 6x =3x - 9+ 4x + 12-6x[/tex]
Solving R.H.S and L.H.S and taking terms of x on one side and constants on the other side.
On changing the side, the sign also changes.
[tex]3x-18 +4x + 12 - 6x =3x - 9+ 4x + 12-6x[/tex]
[tex]3x +4x - 6x +6x- 4x-3x =- 9+ 12- 12+18[/tex]
L.H.S= 0, R.H.S= -9
[tex]0\neq 9[/tex]
Taking the next two equation
[tex](3x + 4x - 6x)+(-9+12) =x+3[/tex]
[tex](3x + 4x - 6x)-9+12=x+3\\3x + 4x - 6x-x=9-12+3 \\[/tex]
[tex]L.H.S=0 , R.H.S =-6\\L.H.S\neq R.H.S[/tex]
So, for the given equations only two equations are equal i.e
[tex]3(x-6) +(4x + 12) - 6x=(3x + 4x - 6x)+(-9+12)[/tex]
[tex]0=0\\L.H.S=R.H.S[/tex]
