Multiple choice

Solve the equation $\dfrac {2}{7}-\dfrac {(x+8)}{4}=\dfrac {3(x-3)}{5}-\dfrac {3}{2}$

  1. no solutions
  2. $0$
  3. $\dfrac {17}{111}$
  4. $\dfrac {37}{119}$
  5. $\dfrac {222}{119}$
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E Correct answer
AI explanation

Multiply the entire equation by the least common multiple of the denominators, which is 140, to clear the fractions: 40 - 35(x + 8) = 84(x - 3) - 210. Distribute the terms to get 40 - 35x - 280 = 84x - 252 - 210, which simplifies to -35x - 240 = 84x - 462. Rearranging brings 222 = 119x, so x = 222/119.

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