SOLVING STEP BY STEP:
[tex] \dfrac{8}{9}(54x-36)+2=- \dfrac{3}{4}(-40+16x)+90x\\ \\ \dfrac{8*54x}{9}- \dfrac{8*36}{9}+2= \dfrac{3*40}{4}- \dfrac{3*16x}{4}+90x\\ \\ \dfrac{432x}{9}- \dfrac{288}{9}+2= \dfrac{120}{4}- \dfrac{48x}{4}+90x\\ \\48x-32+2=30-12x+90x\\ \\48x-30=30+78x\\ \\-30-30=78x-48x\\ \\-60=30x\\ \\ \dfrac{-60}{30}=x\\ \\\boxed{ \boxed{-2}}=x\ ===>\ The\ great\ answer.[/tex]
TESTING:
[tex] \dfrac{8}{9}(54(-2)-36)+2=- \dfrac{3}{4}(-40+16(-2))+90(-2)\\ \\ \dfrac{8}{9}(-108-36)+2=- \dfrac{3}{4}(-40-32)-180\\ \\ \dfrac{8}{9}(-144)+2=- \dfrac{3}{4}(-72)-180\\ \\- \dfrac{8*144}{9}+2= \dfrac{3*72}{4}-180\\ \\ -\dfrac{1152}{9}+2= \dfrac{216}{4}-180\\ \\-128+2=54-180\\ \\\boxed{-126}=\boxed{-126}\quad\checkmark\ Correct.[/tex]
GOOD LUCK...!!!
