5(x + 3) = 25(3x - 4), then find the value of x Options: A . &nbsp$$\frac{{11}}{5}$$ B . &nbsp$$\frac{5}{{11}}$$ C . &nbsp$$\frac{{13}}{5}$$ D . &nbsp$$\frac{5}{{13}}$$

5(x + 3) = 25(3x - 4), then find the value of x

Question

5(x + 3) = 25(3x - 4), then find the value of x

Options:

A . $$\frac{{11}}{5}$$

B . $$\frac{5}{{11}}$$

C . $$\frac{{13}}{5}$$

D . $$\frac{5}{{13}}$$

Answer: Option A
5(x + 3) = 25(3x - 4)
Or, 5(x + 3) = 52 × (3x - 4)
Now, comparing the powers,
(x + 3) = 2 × (3x - 4)
Or, x + 3 = 6x - 8
Or, 6x - x = 8 + 3
Or, 5x = 11
Hence, x = $$\frac{{11}}{5}$$

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