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Twice the difference of a number and 9 is equal to three times the sum of the number and 8.

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User IzumiSy
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8.5k points

1 Answer

3 votes

The number= -25

Explanation:

To solve this equation, you can start by expressing the difference between the number and 9 as 2 times the sum of the number and 8 divided by 3. This gives you the equation:

2 * (x + 8) / 3 = x - 9

You can then multiply both sides of the equation by 3 to get rid of the fraction:

6 * (x + 8) = 3 * (x - 9)

This simplifies to:

6x + 48 = 3x - 27

You can then combine like terms on both sides of the equation to get:

3x + 48 = -27

You can then add 27 to both sides of the equation to get:

3x + 75 = 0

You can then subtract 75 from both sides of the equation to get:

3x = -75

You can then divide both sides of the equation by 3 to get the solution:

x = -25

Therefore, the number x is equal to -25.

Hope this helps you??

answered
User Ege Ozlem
by
8.5k points

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