Question

Whats x solve 1/3x-2/3=-18

Answer 1

`x=-52`

Explanation:

multiple everything by 3 to get rid of the fractions

`3(1/3x-2/3=-18)\\1x-2=-54\\`

rewrite

`x-2=-54`

add 2 to both sides

`x-2+2=-54+2\\x=-52`

Answer 2

`x=-52`

Explanation:

`(1)/(3) x-(2)/(3) =-18`

Add
`(2)/(3)` to both sides of the equation:

`(1)/(3) x=-18 +(2)/(3)`

Simplify
`-18+(2)/(3)` by multiplying
`-18` in fraction form
`-(18)/(1)` to get a common denominator so you can add the two fractions:

`-(18)/(1)` ×
`(3)/(3)=-(54)/(3)`

Now add the two fractions:

`-(54)/(3) +(2)/(3) =-(52)/(3)`

Now write the simplified equation:

`(1)/(3) x=-(52)/(3)`

Divide both sides of the equation by the coefficient of
`x`, which is
`(1)/(3)`:

`x=-(52)/(3)` ÷
`(1)/(3)`

Use the reciprocal of the dividend (
`(1)/(3)`), and multiply by your divisor:

`x=-(52)/(3)` ×
`(3)/(1)`

`x=-(156)/(3)`

Simplify the fraction by dividing
`-156` into
`3`:

`x=-52`