Question

Solve for x: two thirds plus one third times x equals two times x

x equals one half
x equals five halves
x = 2
x equals two fifths

Answer 1

x equals two fifths

Answer 2

Option 4 - x equals two fifths

Explanation:

Given : Expression 'two thirds plus one third times x equals two times x'.

To find : Solve for x?

Solution :

Writing expression in numeric form,

Two thirds plus one third times x equals two times x,

i.e.
`(2)/(3)+(1)/(3)x=2x`

Solving equation,

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

`(2)/(3)=(6x-x)/(3)`

`(2)/(3)=(5x)/(3)`

`x=(2* 3)/(3* 5)`

`x=(2)/(5)`

So, x equals to two fifths.

Therefore, Option 4 is correct.