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How do you solve 7-9x-(x+12) < 25?

 May 4, 2014

Best Answer 

 #2
avatar+130511 
+8

How do you solve 7-9x-(x+12) < 25?

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Let's start by simplifying the left side - note that the "-" outside the parenthesis makes both the "x" and the "12" inside negative !!    We have

-10x - 5  < 25       add 5 to both sides

-10x < 30        divide by -10 on both sides and reverse the inequality sign (as we always do when multiplying or dividing an inequality by a negative)

x > -3

 May 4, 2014
 #1
avatar
0

1. Combine like terms.

-9x combines with -x to make -10x

7 combines with 12 to make 19

Your equation should look like this now: -10x+19 < 25

2. Solve for x

Subtract 19 from both sides

At this point your equation should look like this -10x < 6

Then, you divide both sides by -10

Then you'll get x > -6/10 (the inequality sign switches because you divide by a negative)

3. Simplify

x > -6/10 simplifies to x > -3/5

x > -3/5 is your answer! 

 May 4, 2014
 #2
avatar+130511 
+8
Best Answer

How do you solve 7-9x-(x+12) < 25?

---------------------------------------------------------------------------------------------------------------------------

Let's start by simplifying the left side - note that the "-" outside the parenthesis makes both the "x" and the "12" inside negative !!    We have

-10x - 5  < 25       add 5 to both sides

-10x < 30        divide by -10 on both sides and reverse the inequality sign (as we always do when multiplying or dividing an inequality by a negative)

x > -3

CPhill May 4, 2014
 #3
avatar+118723 
0

That was a really good attempt anonymous. I like to see people 'having a go' 

When ever there is a negative or a negative number in front of a bracket you have to be really careful to expand the bracket properly BEFORE you collect like terms.  It is very easy to make  a mistake.

 May 5, 2014

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