[tex]\dfrac{8}{9}(54x-36)+2=-\dfrac{3}{4}(-40+16x)+90x\ \ \ \ |\text{use distributive property}\\\\\dfrac{8}{9}(54x)-\dfrac{8}{9}(36)+2=-\dfrac{3}{4}(-40)-\dfrac{3}{4}(16x)+90x\\\\8\cdot6x-8\cdot4+2=3\cdot10-3\cdot4x+90x\\\\48x-32+2=30-12x+90x\ \ \ \ |\text{simlify}\\\\48x-30=30+78x\ \ \ \ |+30\\\\48x=60+78x\ \ \ \ \ |-78x\\\\-30x=60\ \ \ \ |:(-30)\\\\\boxed{x=-2}[/tex]
