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

Answer:

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

Step-by-step explanation:

Given the expression

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

Let us simplify the expression

$\frac{\left(5x+6\right)}{2}=3-\left(4x+12\right)$

Multiply both sides by 2

$\frac{5x+6}{2}\cdot \:2=3\cdot \:2-\left(4x+12\right)\cdot \:2$

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

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

$\frac{13x}{13}=\frac{-24}{13}$

Simplify

$x=-\frac{24}{13}$

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

Answer 2

Answer:

E. 5x + 6 = -8x – 18​

Step-by-step explanation:

Hope this will help