Question

Solve for x.

2x-4/10 = 2x/20

Answer 1

Refine:


`(2x-4)/(10)`

factor out common term 2 :


`(2(x-2))/(10)`

Cancel the common factor 2 :


`(x-2)/(5)`

Refine:


`(2x)/(20)`


`(x-2)/(5) = (x)/(10)`

find least common multiplier of 5 and 10

Multiply by LCM = 10


`(x-2)/(5) *10 = (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!