To find the value of x in the given equation, let's first expand the expressions on both sides:
(3x + 5)(4x - 1) = (6x - 3)(2x + 7) 12x^2 - 3x + 20x - 5 = 12x^2 + 42x - 6x - 21
Now, let's combine like terms:
12x^2 + 17x - 5 = 12x^2 + 36x - 21
Next, let's get rid of the common terms on both sides:
12x^2 - 12x^2 + 17x - 36x = -21 + 5
-19x = -16
Now, let's solve for x by dividing both sides by -19:
x = (-16)/(-19)
Simplifying the expression:
x = 16/19
So, the value of x in the given equation is 16/19.
