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Nady [450]
2 years ago
6

6-2(x+6)=3x+4 ...............................

Mathematics
1 answer:
juin [17]2 years ago
4 0

Answer:

x=−2

Step-by-step explanation:

1 Expand.

6-2x-12=3x+4

6−2x−12=3x+4

2 Simplify  6-2x-126−2x−12  to  -2x-6−2x−6.

-2x-6=3x+4

−2x−6=3x+4

3 Add 2x2x to both sides.

-6=3x+4+2x

−6=3x+4+2x

4 Simplify  3x+4+2x3x+4+2x  to  5x+45x+4.

-6=5x+4

−6=5x+4

5 Subtract 44 from both sides.

-6-4=5x

−6−4=5x

6 Simplify  -6-4−6−4  to  -10−10.

-10=5x

−10=5x

7 Divide both sides by 55.

-\frac{10}{5}=x

−

5

10

​

=x

8 Simplify  \frac{10}{5}

5

10

​

  to  22.

-2=x

−2=x

9 Switch sides.

x=-2

x=−2

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Answer:

He received 92 points total and he only lost 8 points overall.

Step-by-step explanation:

Ned has 100 points to start because each question counts as 4 points and there is 25 question. He lost 16 points overall because he missed 4 question and each count as 4. Then he lost 16 points and is left with 84 points. Finally he earns 8 more points and is left of with 92 points.

Total points: 25 x 4 = 100

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Point before extra credit: 100 - 16 = 84

Points after extra credit: 84 + 8 = 92

Number Sentence: 100 - (4 x 4) = a + 8 = 92

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