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docker41 [41]
2 years ago
7

What is the value of x in the equation 5(4x-10)+10x = 4(2x-3)+2(x-4)? A)-7/4 B)-1/4 C)3/20 D)3/2

Mathematics
1 answer:
Basile [38]2 years ago
5 0

Answer:

D (3/2

Step-by-step explanation:

<u>Simplify both side of the equation</u>: 5(4x - 10) + 10x = 4(2x - 3) + 2(x - 4)

(5)(4x) + (5)(−10) + 10x = (4)(2x) + (4)(−3) + (2)(x) + (2)(−4)

Then you distribute: 20x + −50 + 10x = 8x + −12 + 2x + −8

(20x + 10x) + (−50) = (8x + 2x) + (−12 + −8)

Combine like terms: 30x + −50 = 10x + −20

30x - 50 = 10x - 20

<u>Subtract 10x from both sides</u>: 30x − 50 − 10x = 10x − 20 − 10x

20x - 50 = -20

<u>Add 50 to both sides</u>: 20x - 50 + 50 = -20 + 50

20x = 30

<u>Divide both sides by 20</u>: 20x / 20 = 30 / 20

<em>x = 3/2</em>

<em />

Boom! I hope that helped :)

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