Hey there!Assuming you meant: "[tex]\bold{2(x-2=4x-6(x-2)}[/tex]"If so follow these steps [tex]\bold{Distribute\downarrow}[/tex][tex]\bold{2(x)+2(-2)=4(x)+(-6)x+(-6))(-2)}[/tex][tex]\bold{2(x)=2x}[/tex][tex]\bold{2(-2)=-4}[/tex][tex]\bold{4x=4x}[/tex][tex]\bold{-6(x)=-6x}[/tex][tex]\bold{(-6)(-2)=12}[/tex]We get: [tex]\bold{2x-4=(4x+(-6x))+12}[/tex[tex]\bold{Combine\downarrow}[/tex]All the x-values are one and the regular numbers are one We get: [tex]\bold{2x-4=-2x+12}[/tex][tex]\bold{Add}[/tex] by [tex]\bold{2x}[/tex] on your sides [tex]\bold{2x-4+2x=-2x+12+4}[/tex]We now get: [tex]\bold{4x-4=12}[/tex][tex]\bold{Add}[/tex] by [tex]\bold{4}[/tex] on each of your sides[tex]\bold{4x-4+4=12+4}[/tex]We get: [tex]\bold{4x=16}[/tex][tex]\bold{Divide}[/tex] by [tex]\bold{4}[/tex] on each of your sides[tex]\bold{\frac{4x}{4}=\frac{16}{4}}[/tex][tex]\boxed{\boxed{\bold{Answer:x=4}}}\checkmark[/tex]Good luck on your assignment and enjoy your day~[tex]\frak{LoveYourselfFirst:)}[/tex]