\(\left(\frac{1}{4}x-1\right)+\left(\frac{5}{6}x-2\right)-\left(\frac{3}{8}x+1\right)=4.5\)
\(\frac{1}{4}x-1+\frac{5}{6}x-2-\frac{3}{8}x-1=4.5\)
\(\left(\frac{1}{4}x+\frac{5}{6}x-\frac{3}{8}x\right)-\left(1+1+2\right)=4.5\)
\(\frac{17}{24}x-4=4.5\)
\(\frac{17}{24}x=4.5+4\)
\(\frac{17}{24}x=9.5\)
\(x=9.5\div\frac{17}{24}\)
\(x=\frac{228}{17}\)