Question

4(4+2x)=7(x-4)

A: The solution set is (_) Simplified
B: There is no solution
Pick one and if A then simplify the answer

Answer 1

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Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

`\boxed{x = -44}`

`4(4+2x)=7(x-4)`

Solution :

`4(4+2x)=7(x-4)`

`( 2x + 4 ) = 7 ( x - 4 )`

`4 . 2x + 4 . 4 = 7x - 7 . 4`

`8x + 16 = 7x - 28`

`( 8x + 16) + ( -16 - 7x ) = ( 7x - 28 ) + ( -16 - 7x )`

`( 8x + 16 ) + ( -7x - 16) = (7x - 28 ) + ( -7x - 16)`

`8x + 16 - 7x - 16 = 7x - 28 - 7x - 16`

`8x - 7x + 16 - 16 = 7x - 7x - 28 - 16`

`x = -44`

( A: The solution set is (_) Simplified )

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

Answer 2

x=-44

Explanation:

4(4+2x)=7(x-4)

[expanding the brackets]

16+8x=7x-28

[grouping like terms]

8x-7x= -28-16

x= - 44