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Variable on Both Sides

If 33 x+5+12=...

Question

$If 3 (3 x + 5) + 12 = 2 (x + 3), then find the value of x .$

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Solution

The correct option is B
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Given:
$3 (3 x + 5) + 12 = 2 (x + 3) \Rightarrow 9 x + 15 + 12 = 2 x + 6 \Rightarrow 9 x + 27 = 2 x + 6$

$Transposing 2x from RHS to LHS and 27 from LHS to RHS, we have \Rightarrow 9 x - 2 x = 6 - 27 \Rightarrow 7 x = - 21$

$Dividing both sides by 7, we have \Rightarrow x = - \frac{21}{7} \Rightarrow x = - 3$

$Therefore, the value of x is -3.$

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3^{x} = 81

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3^{3 x - 5} = \frac{1}{9^{x}}

\frac{(2 x + 3) (3 x - 4)}{(x - 1) (4 x + 5)} = f (x) - \frac{5}{9 (x - 1)} + \frac{31}{18 (4 x + 5)}

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3^{x} = 81

2^{x - 3} = 1

3^{3 x - 5} = \frac{1}{9^{x}}

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2^{x - 3} = 1

3^{3 x - 5} = \frac{1}{9^{x}}

5 (2 x - 3) - 3 (3 x - 7) = 5

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