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# -2(x-14)=26

can someone help me please :)

### 3 Answers by Expert Tutors

Robert J. | Certified High School AP Calculus and Physics TeacherCertified High School AP Calculus and Ph...
4.6 4.6 (13 lesson ratings) (13)
2

-2(x-14)=26

Divide both sides by -2,

x-14 = -13

Katherine S. | Highly Requested and Experienced Berlitz Trained English TeacherHighly Requested and Experienced Berlitz...
1

Hello!

It's important to know why you need to follow the steps you need to solve this problem, so you can solve other ones like it in the future. :)

We have to make x stand alone to find out this answer, so to do that, we need to first get rid of the -2 and the -14.  The way to do that is to do the opposite of what they are doing in the problem now.  Right now, the problem is -2 TIMES (x MINUS 14) on one side, so to get rid of the -2, we need to DIVIDE both sides by -2, then ADD 14 to both sides.

Step 1: Divide both sides by -2

-2(x-14) divided by -2 is (x-14)

and 26 divided by -2 is -13

so, that leaves us with x-14 = -13

Step 2: We need to get rid of the -14 (so that x will be by itself on one side)

So, we do the opposite of what is happening in the problem again. Which means that we ADD 14 to both sides.

x-14 Plus 14 leaves us with just x

-13 Plus 14 leaves us with 1

So, we are left with x=1

And that is the answer! :)

Nataliya D. | Patient and effective tutor for your most difficult subject.Patient and effective tutor for your mos...
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We will use distributive property of multiplication:
a(b ± c) = ab ± ac
~~~~~~~~~

-2( x – 14) = 26

-2x – (-2) * 14 = 26

-2x + 28  =  26
- 28    - 28

-2x   =   -2
÷(-2)     ÷(-2)

x = 1