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Answered

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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​

Sagot :

absor201

Answer:

Only option E is equivalent to [tex]5x+6=-8x-18[/tex].

Step-by-step explanation:

Given the expression

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

Let us simplify the expression

[tex]\frac{\left(5x+6\right)}{2}=3-\left(4x+12\right)[/tex]

Multiply both sides by 2

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

[tex]5x+6=6-\left(4x+12\right)\cdot \:2[/tex]

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

[tex]5x+6=-8x-18[/tex]

Thus, option E is equivalent to [tex]5x+6=-8x-18[/tex].

Further solving

[tex]5x+6=-8x-18[/tex]

Add 8x from to both sides

[tex]5x+8x=-8x-24+8x[/tex]

Simplify

[tex]13x=-24[/tex]

Divide both sides

[tex]\frac{13x}{13}=\frac{-24}{13}[/tex]

Simplify

[tex]x=-\frac{24}{13}[/tex]

Thus, only option E is equivalent to [tex]5x+6=-8x-18[/tex].

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Answer:

E. 5x + 6 = -8x – 18​

Step-by-step explanation:

Hope this will help

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