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 – …

Question

asked Sep 12, 2022 22.8k views

2 Answers

Yur Gasparyan · Answer 1 · 2022-09-18T10:29:48+0000

Answer:

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 .