Question #93a96

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Question #93a96

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Answer 1 · 2017-11-14T10:50:53

$x = - 10$ $x=-10$ or $x = 8$ $x=8$

Explanation:

$2 | x + 1 | \div 3 = 6$ $2|x+1|-:3=6$ is the same as $\frac{2 | x + 1 |}{3} = 6$ $(2|x+1|)/3=6$ .

Now. we multiply both sides by $3$ $3$ :

$\frac{3 \cdot 2 | x + 1 |}{3} = 6 \cdot 3$ $(color(red)3color(red)*2|x+1|)/3=6color(red)*color(red)3$

which is equal to $2 | x + 1 | = 18$ $2|x+1|=18$ .

Divide both sides by 2:
$\frac{2 | x + 1 |}{2} = \frac{18}{2} \to$ $(2|x+1|)/color(red)2=18/color(red)2->$

$| x + 1 | = 9$ $|x+1|=9$

Since $∣ ∣$ $color(red)|color(red)|$ means absolute value,
there are two statements we have to solve:
$x + 1 = - 9$ $x+1=-9$ and $x + 1 = 9$ $x+1=9$

For $x + 1 = - 9$ $x+1=-9$ :
Subtract both sides by 1:
$x + 1 - 1 = - 9 - 9$ $x+1color(red)-color(red)1=-9color(red)-color(red)9$
Simplify:
$x = - 10$ $x=-10$

For $x + 1 = 9$ $x+1=9$ :
Subtract both sides by 1:
$x + 1 - 1 = 9 - 1$ $x+1color(red)-color(red)1=9color(red)-color(red)1$
Simplify:
$x = 8$ $x=8$

Therefore,
$x = 8$ $x=8$ or $x = - 10$ $x=-10$ .

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Question #93a96

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