julibeez0709 julibeez0709
  • 21-10-2020
  • Mathematics
contestada

To make the expression 4x-2 + (2x + 4) equivalent to 2(6x + 7), what must be the value in the box?

Respuesta :

hnori22003
hnori22003 hnori22003
  • 21-10-2020

[tex]4x - 2 + (2x + 4) = 2(6x + 7) \\ [/tex]

[tex]4x - 2 + 2x + 4 = 12x + 14[/tex]

Simplification

[tex]6x + 2 = 12x + 14[/tex]

Subtract sides 2

[tex]6x + 2 - 2 = 12x + 14 - 2[/tex]

Simplification

[tex]6x = 12x + 12[/tex]

Subtract sides -12x

[tex]6x - 12x = 12x - 12x + 12[/tex]

Simplification

[tex] - 6x = 12[/tex]

Divided sides by -6

[tex] \frac{ - 6}{ - 6}x = \frac{12}{ - 6} \\ [/tex]

[tex]x = - 2[/tex]

It is must be in the box buddy.

And we're done...♥️♥️♥️♥️♥️

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