3 X + 4 upon 2 minus 6 x is equals to minus 2 upon 5 find the x
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The required value of x is (– 8).
Given: (3x + 4)/(2 – 6x) = (–2)/5
To Find: The value of x.
Solution:
We are given an equation,
⇒ (3x + 4)/(2 – 6x) = (–2)/5
And we need to perform the following steps to acquire the value of x in the equation:
• First, by cross multiplying the given equation we will get,
⇒ (3x + 4) × 5 = (2 – 6x) × (–2)
⇒ 15x + 20 = – 4 + 12x
• Then, we need to transfer ‘12x’ to left hand side and ‘+ 20’ to right hand side,
⇒ 15x – 12x = – 4 – 20
⇒ 3x = – 24
• Now, dividing both left hand side and right hand side with 3 we get,
⇒ (3x)/3 = (– 24)/3
⇒ x = – 8
Therefore, the required value of x in the given equation is (– 8).
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