Answer:
[tex]\Rightarrow x=\frac{2}{63}[/tex]
Step-by-step explanation:
We have been given an equation:
[tex]\frac{8}{9}\cdot (54x-36)+2=-\frac{3}{4}\cdot (-40+16x)+90x[/tex]
[tex]-48x+32+2=30-12x+90x[/tex]
[tex]\Rightarrow -36x-90x=30-34[/tex]
Further simplification gives:
[tex]-126x=-4[/tex]
[tex]\Rightarrow x=\frac{4}{126}[/tex]
[tex]\Rightarrow x=\frac{2}{63}[/tex]