Question

How do you solve `2/3x-x/4=1+(5x)/6 + 11/12`?

Answer 1

`x= color(green)(-4 3/5)`

Explanation:

Given
`color(white)("XXX")2/3x-x/4=1+(5x)/6+11/12`

Note that the Least Common Multiple of the denominators is `12`
So we can multiply both sides by `12` to clear the fractions:
`color(white)("XXX")8x-3x=12+10x+11`

Simplifying
`color(white)("XXX")5x=10x+23`

`color(white)("XXX")-5x=23`

#color(white)("XXX")x=-23/5+ -4 3/5