2x-3/3x+1=2x+5/3x-2
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Given,
An algebraic expression:
(2x-3)/(3x+1)=(2x+5)/(3x-2)
To find,
The value of x.
Solution,
We can simply solve this mathematical problem using the following process:
On simplifying the given expression by cross-multiplication method, we get;
(2x-3)/(3x+1)=(2x+5)/(3x-2)
=> (2x-3)×(3x-2) = (3x+1)×(2x+5)
{By cross-multiplication method}
=> 2x(3x-2) - 3(3x-2) = 3x(2x+5) + 1(2x+5)
=> 6x^2 - 4x - 9x + 6 = 6x^2 + 15x + 2x + 5
=> 6x^2 - 13x + 6 = 6x^2 + 17x + 5
=> - 13x + 6 = 17x + 5
=> 17x + 13x = 6-5
=> 30x = 1
=> x = 1/30
Hence, the value of x is equal to 1/30.
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