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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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