Given Equation :-
[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow 2x -2 = 4x +6} [/tex]
Let's overturn the equation –
[tex]\qquad[/tex][tex] \sf \longrightarrow 4x +6 = 2x -2 [/tex]
Subtract 2x from both side –
[tex]\qquad[/tex][tex] \sf \longrightarrow 4 x +6 -2x = 2x -2 -2x[/tex]
Cancel 2x from right side & also simplify this equation
[tex]\qquad[/tex][tex] \sf \longrightarrow 4 x +6 -2x =\cancel{ 2x} -2 -\cancel{2x}[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 2x +6 = -2 [/tex]
Now, subtract 6 from both side
[tex]\qquad[/tex][tex] \sf \longrightarrow 2x +6 -6 = -2-6[/tex]
Once again, cancel 6 from left side –
[tex]\qquad[/tex][tex] \sf \longrightarrow 2x +\cancel{6} -\cancel{6} = -2-6[/tex]
On simplification –
[tex]\qquad[/tex][tex] \sf \longrightarrow 2x = -8[/tex]
Now, divide both sides by 2
[tex]\qquad[/tex][tex] \sf \longrightarrow \dfrac{2x}{2} = \dfrac{-8}{2}[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow \dfrac{\cancel{2}x}{\cancel{2}} =\cancel{ \dfrac{-8}{2}}[/tex]
[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow x = -4} [/tex]
- Henceforth, value of x is -4.
