Respuesta :

x=2

10-2(2x+1)=4(x-2)

10-4x-2=4x-8

10-2=8x-8

8=8x-8

16=8x

2=x

Hi1315

Answer:

X = 2

Step-by-step explanation:

[tex] \sf \: First, solve \: the \: brackets. [/tex]

[tex] \sf \: 10 - 2(2x + 1) = 4(x - 2) \\ \sf10 - 4x - 2 = 4x - 8 \: \: \: \: \: \: \: [/tex]

[tex] \sf \: Combine \: like \: terms .[/tex]

[tex] \sf8 - 4x = 4x - 8[/tex]

[tex] \sf \: Subtract \: 4x \: from \: both \: sides \: to \: remove \: 4x.[/tex]

[tex] \sf \: 8 - 4x - 4x = 4x - 8 - 4x \\ \sf8 - 8x = - 8[/tex]

[tex] \sf \: Subtract \: 8 \: from \: both \: sides \: to \: remove \: 8.[/tex]

[tex] \sf8 - 8 - 8x = - 8 - 8 \\ \sf - 8x = - 16[/tex]

[tex] \sf \: Divide \: both \: sides \: by \: -8.[/tex]

[tex] \sf \: x = 2[/tex]