MathematicsThe solution of x for which satisfies the equation 2x – (7-5x)9x – (3+4x)=76 is ____

The solution of x for which satisfies the equation $\frac{2 x - (7 - 5 x)}{9 x - (3 + 4 x)} = \frac{7}{6}$ is ____

\frac{2 x - (7 - 5 x)}{9 x - (3 + 4 x)} = \frac{7}{6}

6[2x – (7 – 5x)] = 7[9x – (3 + 4x)]
6(2x – 7 + 5x) = 7(9x – 3 – 4x)
6(7x – 7) = 7(5x – 3)

42 x - 42 = 35 x - 21

42 x - 35 x = 42 - 21

7 x = 21

x = 3
Therefore, the value of x is 3.

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