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Gnesinka [82]
3 years ago
11

3/5 (10+5x)−1/3(6x+3)=9 ok answer fast

Mathematics
1 answer:
Anton [14]3 years ago
6 0

Answer: x = 4

<u>Step-by-step explanation:</u>

\dfrac{3}{5}(10 + 5x) - \dfrac{1}{3}(6x + 3)=9

\dfrac{3}{5}(10 + 5x)(15) - \dfrac{1}{3}(6x + 3)(15)=9(15) <em>multiplied by common denominator</em>

3(10 + 5x)(3) - 1(6x + 3)(5) = 9(15)   <em>reduced all fractions</em>

90 + 45x - 30x - 15 = 135      <em>distributed</em>

15x + 75 = 135      <em>simplified (added like terms)</em>

15x = 60         <em>subtracted 75 from both sides</em>

  x = 4          <em>divided 15 from both sides</em>

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How many units from 0 is -53.4?
IgorLugansk [536]

Answer:

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Step-by-step explanation:

0+(-53.4)=0-53.4=-53.4

6 0
4 years ago
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What is the value of x, when 10(x + 2) = 5(x + 8)?
olga_2 [115]
Solve for x:
10 (x + 2) = 5 (x + 8)

Expand out terms of the left hand side:
10 x + 20 = 5 (x + 8)

Expand out terms of the right hand side:
10 x + 20 = 5 x + 40

Subtract 5 x from both sides:
(10 x - 5 x) + 20 = (5 x - 5 x) + 40

10 x - 5 x = 5 x:
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5 x - 5 x = 0:
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20 - 20 = 0:
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40 - 20 = 20:
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Divide both sides of 5 x = 20 by 5:
(5 x)/5 = 20/5

5/5 = 1:
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The gcd of 20 and 5 is 5, so 20/5 = (5×4)/(5×1) = 5/5×4 = 4:

Answer:  x = 4
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