Question

What is the value of x? 4/5x-1/10=3/19

Answer 1

x=
`(1)/(2)`

Explanation:

Hi there!

We are given the following equation:

`(4x)/(5)`-
`(1)/(10)`=
`(3)/(10)`

and we need to find the value of x

To do this, we need to isolate the value of x with a coefficient of 1 (1x) on one side. The value of x, or everything else is on the other side

So let's get rid of
`(1)/(10)` from the left side by adding
`(1)/(10)` to both sides (-
`(1)/(10)`+
`(1)/(10)`=0).

`(4x)/(5)`-
`(1)/(10)`=
`(3)/(10)`

+
`(1)/(10)` +
`(1)/(10)`

___________

`(4x)/(5)`=
`(3)/(10)`+
`(1)/(10)`

as the fractions on the right side both have the same denominator, we can add them together

`(4x)/(5)`=
`(4)/(10)`

Now we need to have the value of 1x. Currently we have
`(4x)/(5)`.

In order to get x with a coefficient of 1, multiply both sides by the reciprocal of
`(4)/(5)`, which is
`(5)/(4)`

`(5)/(4)`×
`(4x)/(5)`=
`(4)/(10)`*
`(5)/(4)`

which simplifies down to

x=
`(20)/(40)`

Now reduce the fraction by dividing the numerator and denominator both by 20

x=
`(1)/(2)`

Hope this helps!