Question

What is the solution to the equation ? -4(2x+3) = 2x+6-(8x+2)

Answer 1

`x=-8`

Explanation:

`\mathrm{Expand\:}-4\left(2x+3\right):\quad -8x-12`

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

Add 12 to both sides:
`-8x-12+12=-6x+4+12`

→
`-8x=-6x+16`

Add 6x to both sides:
`-8x+6x=-6x+16+6x`

→
`-2x=16`

Divide both sides by -2:
`(-2x)/(-2)=(16)/(-2)`

Simplify.

Hope this helps!!

Answer 2

x=-8

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