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George solved the equation -103 = -2(-7x + 7) + 8x as follows:

-103 = -2(-7x + 7) + 8x

Step 1: -103 = 14x + 7 + 8x

Step 2: -103 = 22x + 7

Step 3: -110 = 22x

Step 4: -5 = x


At which step did he make an error?

Explain the error:

User Tri Q Tran
by
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2 Answers

5 votes
Step 1:-103=14x - 14 + 8x
Step 2: -103 = 22x - 14
Step 3: -117 = 22x
Step 4: -5.31818182 = x
User Ebanster
by
8.2k points
3 votes
when multiplying -2 by 7 the answer will be -14 instead of 7 so the answer will be like this
-103 = -2(-7x + 7) + 8x
-103 = 14x - 14 + 8x
-103 = 22x - 14
-89 = 22x
x = -4
User Malik Zahid
by
8.2k points

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