\(\frac{2x-x}{8}+5=35\)
2x-x=x
\(\frac{x}{8}+5=35\)
To get x by itself, multiply everything by 8.
\(x+40=280\)
Subtract 40 from both sides.
\(x+40-40=280-40\)
\(x=240\)
To verify, plug into the original equation.
\(\frac{2(240)-240}{8}+5=35\)
Simplify.
\(\frac{480-240}{8}+5=35\)
\(\frac{240}{8}+5=35\)
\(\frac{240}{8}=\frac{120}{4}=\frac{60}{2}=\frac{30}{1}\)
30/1=30
\(30+5=35\)
\(35=35\)
This is true, so x is 240.
