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Temka [501]
2 years ago
14

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​
Mathematics
2 answers:
sergij07 [2.7K]2 years ago
3 0

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.

lorasvet [3.4K]2 years ago
3 0

Answer:

E. 5x + 6 = -8x – 18​

Step-by-step explanation:

Hope this will help

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