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Nady [450]
3 years ago
6

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

Mathematics
1 answer:
juin [17]3 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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9514 1404 393

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Step-by-step explanation:

Let x represent Josh's rate of travel in miles per hour. After 2 hours, his distance is ...

  distance = speed · time

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Then 2x is Greg's rate of travel After 5 hours, his distance is ...

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__

Josh's rate: 32 miles per hour; Josh's distance = (2 h)(32 mi/h) = 64 miles.

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<em>__</em>

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