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Q.

The value of x,=4x5 −2= 6x15 is ____.


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Detailed Solution

Concept: In order to further answer this problem, we must first write down the equation for it and then compare the denominators to arrive at a common denominator. Find the value of x after doing several operations, including multiplication, addition, division, and subtraction.
The following equation must be solved in a number of steps.
Write the equation 4x5 −2 = 6x15 down first.
Now that we have a common denominator on the left side of the equation, we will multiply and divide the number 2 by 5.
4x-105 = 6x15
The result of multiplying both sides of the equation by 15 is
 12x-30=6x
When we multiply 12 by 30 and add it to both sides of the equation, we obtain
 12x=6x+30.
Next, we will take out 6x from both sides of the equation to arrive at
 12x-6x=30.
By dividing both sides by 6, we can determine the value of x, which is
 x=306=5.
Hence, the value of x is 5.
 ExamType: CBSE
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