[tex]\dfrac{4}{5}(15x+20)-7x=\dfrac{5}{6}(12x-24)+6\ \ \ \ |\text{use distributive property}\\\\\dfrac{4}{5}\cdot15x+\dfrac{4}{5}\cdot20-7x=\dfrac{5}{6}\cdot12x-\dfrac{5}{6}\cdot24+6\\\\4\cdot3x+4\cdot4-7x=5\cdot2x-5\cdot4+6\\\\12x+16-7x=10x-20+6\\\\5x+16=10x-14\ \ \ \\ |-16\\\\5x=10x-30\ \ \ \ |-10x\\\\-5x=-30\ \ \ \ |:(-5)\\\\\boxed{x=6}[/tex]
