Question

Solve for x. 2x-4/10 = 2x/20

Answer 1

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!