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olchik [2.2K]
3 years ago
7

What is the value of x in the equation 2(x-4) = 4(2x + 1)?

Mathematics
2 answers:
Pepsi [2]3 years ago
8 0

Answer:

x =  - 2

Step-by-step explanation:

2(x - 4) = 4(2x + 1) \\ 2x - 8 = 8x + 4 \\ 2x - 8x = 8 + 4 \\  - 6x = 12 \\  \frac{ - 6x}{ - 6}  =  \frac{12}{ - 6}  \\ x = -  2

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<em>brainliest</em><em> </em><em>appreciated</em>

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SpyIntel [72]3 years ago
4 0

Answer:

The value of x is -2.

Step-by-step explanation:

First, you have to eliminate the brackets by expanding :

2(x - 4) = 4(2x + 1)

2x - 8 = 8x + 4

Next, you have to move all the like-terms to one side :

2x - 8 - 8x = 4

- 6x = 4 + 8

- 6x = 12

x = 12 \div ( - 6)

x =  - 2

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