Question

1/2(8x-4)-5=-3(x+4)-9

Answer 1

The value to the given expression is x=-2

Explanation:

Given equation is

`(1)/(2)(8x-4)-5=-3(x+4)-9`

To simplify the given equation

`(1)/(2)(8x-4)-5=-3(x+4)-9` ( By using the distributive property )

`((8x-4))/(2)-5=-3x-12-9`

`8x-14=2(-3x-21)` ( adding like terms )

`8x-14=2(-3x-21)`

`8x-14=-6x-42` ( By Using the distributive property )

`8x-14+6x+42=0` ( combine terms to simplify )

`14x+28=0`( adding like terms )

`14x=-28`

`x=(-28)/(14)`

`x=-2`

Therefore x=-2

The value to the given expression is x=-2