Question

How do you solve `\frac { x - 3} { 2} - \frac { x - 2} { 5} = 5`?

Answer 1

`x = 61/3`

Explanation:

If an EQUATION has fractions, you can get rid of the denominators by multiplying each term by the LCD to cancel them.

`(color(blue)(cancel10^5xx)(x-3))/cancel2-(color(blue)(cancel10^2xx)(x-2))/cancel5 =color(blue)( 10xx)5" "larr color(blue)(xx 10)`

`5(x-3) -2(x-2) =50" "larr` no fractions, solve for `x`

`" "5x-15-2x+4 =50`

`color(white)(xxxxxwww)3x -11 =50`

`color(white)(xxxxzzzzzxwww)3x =61`

`color(white)(xxxxzzz.zzxwww)x =61/3`