Solve $5(2x - 3) = 7(x + 4)$.

Solve $5(2x - 3) = 7(x + 4)$.
  1. $\dfrac{43}{3}$
  2. $\dfrac{43}{17}$
  3. $3$
  4. $7$

Solution

$10x - 15 = 7x + 28 \Rightarrow 3x = 43 \Rightarrow x = \dfrac{43}{3}$.

Asked in: IMO

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