½x + 3 + 2½ = 2x + 4x + 8 – 4x

½x + 3 + 2½ = 2x + 4x + 8 –  4x

 

$$\\\frac{x}{2}+5.5=2x+8\\\\
\frac{x}{2}+5.5-5.5=2x+8-5.5\\\\
\frac{x}{2}=2x+2.5\\\\
\frac{x}{2}-2x=2x+2.5-2x\\\\
\frac{x}{2}-\frac{4x}{2}=2.5\\\\
\frac{x-4x}{2}=2.5\\\\
\frac{-3x}{2}=2.5\\\\
\frac{-3x}{2}\times 2=2.5\times 2\\\\
-3x=5\\\\
x=\frac{-5}{3}\\\\$$