\(\left(3x-2\right)\left(4x-5\right)-\left(2x-1\right)\left(6x+2\right)=0\)
<=> \(12x^2-15x-8x+10-\left(12x^2+4x-6x-2\right)=\) \(0\)
<=> \(12x^2-23x+10-12x^2-4x+6x+2=0\)
<=> \(12x^2-21x+12=0\)
(3x - 2)(4x - 5) - (2x - 1)(6x + 2) = 0
=> 12x2 - 15x - 8x + 10 - (12x2 - 4x - 6x - 2) = 0
=> 12x2 - 15x - 8x + 10 - 12x2 + 4x + 6x + 2 = 0
=> (12x2 - 12x2) - (15x + 8x - 4x - 6x) + (10 + 2) = 0
=> 0 - 13x + 12 = 0
=> 13x = - 12
=> x = -12/13
\(\left(3x-2\right)\left(4x-5\right)-\left(2x-1\right)\left(6x+2\right)=0\)
\(\left(12x^2-15x-8x+10\right)-\left(12x^2-4x-6x-2\right)=0\)
\(12x^2-15x-8x+10-12x^2+4x+6x+2=0\)
\(-15x-8x+10+6x+2=0\)
\(\left(-15x-8x+6x\right)+10+2=0\)
\(-17x+10+2=0\)
\(-17x+10=-2\)
\(-17x=-12\)
\(x=\frac{12}{17}\)
