Question

3x over 4 - 1/3 = 1 - 2/3

Answer 1

`x=(8)/(9)`

Explanation:

The given equation is

`(3x)/(4)-(1)/(3)=1 - (2)/(3)`

We multiply each term by the Lowest Common Multiple of 4 and 3, which is 12

`12((3x)/(4))-12((1)/(3))=12(1)-12((2)/(3))`

`3(3x)-4(1)=12-4(2)`

`\implies 9x-4=12-8`

`\implies 9x-4=4`

Add 4 to both sides of the equation,

`\implies 9x-4+4=4+4`

`\implies 9x=8`

Divide both sides by the coefficient of x

`\implies (9x)/(9)=(8)/(9)`

`\implies x=(8)/(9)`