​ algebraic fractions

Hi Linx7    

$\frac{3x-2}{4}-\frac{2x-5}{3}=\frac{1+x}{6}\\ \text{lowest common denominator is 12}\\ 12\times \left(\frac{3x-2}{4}-\frac{2x-5}{3}\right)=12 \times \left(\frac{1+x}{6}\right)\\ 3(3x-2)-4(2x-5)=2(1+x)\\ 9x-6-8x+20=2+2x\\ x+14=2x+2\\ 12=x\\ x=12$