Respuesta :

Answer:

x=-8

Step-by-step explanation:

-4(2x+3) = 2x+6-(8x+2)

The first step is to distribute the -4 and the -1

-4*2x+-4*3 = 2x+6 -8x-2

-8x-12 = 2x+6-8x-2

Combine like terms

-8x-12 = -6x+4

Add 8x to each side

-8x+8x-12 = 8x-6x+4

-12 = 2x+4

Subtract 4 from each side

-12-4 = 2x+4-4

-16 = 2x

Divide by 2

-16/2 = 2x/2

-8=x

Answer:

[tex]x=-8[/tex]

Step-by-step explanation:

[tex]\mathrm{Expand\:}-4\left(2x+3\right):\quad -8x-12[/tex]

[tex]\mathrm{Expand\:}2x+6-\left(8x+2\right):\quad -6x+4[/tex][tex]-8x-12=-6x+4[/tex]

Add 12 to both sides:[tex]-8x-12+12=-6x+4+12[/tex]

→[tex]-8x=-6x+16[/tex]

Add 6x to both sides:[tex]-8x+6x=-6x+16+6x[/tex]

→[tex]-2x=16[/tex]

Divide both sides by -2:[tex]\frac{-2x}{-2}=\frac{16}{-2}[/tex]

Simplify.

Hope this helps!!