Question

1. Select all equations that are equivalent to (5x+6) over 2 =3-(4x + 12). A5+6= 3 - (4x + 12) (5x+6) B. 2 = -4x -9 c. x+3 = 3 – (4x + 12) (5x+6) = -4x + 15 2 E. 5x + 6 = -8x – 18​

Answer 1

E. 5x + 6 = -8x – 18​

Explanation:

Hope this will help

Answer 2

Only option E is equivalent to
`5x+6=-8x-18`.

Explanation:

Given the expression

(5x+6) over 2 = 3-(4x + 12)

Let us simplify the expression

`(\left(5x+6\right))/(2)=3-\left(4x+12\right)`

Multiply both sides by 2

`(5x+6)/(2)\cdot \:2=3\cdot \:2-\left(4x+12\right)\cdot \:2`

`5x+6=6-\left(4x+12\right)\cdot \:2`

Expand -(4x + 12) = -4x - 12

`5x+6=-8x-18`

Thus, option E is equivalent to
`5x+6=-8x-18`.

Further solving

`5x+6=-8x-18`

Add 8x from to both sides

`5x+8x=-8x-24+8x`

Simplify

`13x=-24`

Divide both sides

`(13x)/(13)=(-24)/(13)`

Simplify

`x=-(24)/(13)`

Thus, only option E is equivalent to
`5x+6=-8x-18`.