Verified Answer :

Refine:

\(\frac{2x-4}{10}\)

factor out common term 2 :

\(\frac{2(x-2)}{10}\)

Cancel the common factor 2 :

\(\frac{x-2}{5}\)

Refine:

\(\frac{2x}{20}\)

\(\frac{x-2}{5} = \frac{x}{10}\)

find least common multiplier of 5 and 10

Multiply  by LCM = 10

\(\frac{x-2}{5} *10 = \frac{x}{10} *10\)

\(2(x-2)=x\)

\(2x - 4 = x\)

Add 4 to both sides:

\(2x-4+4 = x+4\)

\(2x = x + 4\)

\(2x - x = 4\)

\(x = 4\)

hope this helps!