Question

Question #39cd6

Answer 1

`x = 3/2 " or " 1.5`

Explanation:

`(2x)/3 + 2/5 = (3x)/5 + 1/2`

First, we have to make all of the denominator equal. To do that we find the lowest common multiple of the denominators (which is 30).

`(10\times2x)/(10\times3) + (6\times2)/(6\times5) = (6\times3x)/(6\times5) + (15\times1)/(15\times2)`

Which is "simplified" to:

`(20x)/(30) + 12/30 = (18x)/30 + 15/30`

If we multiply both sides by 30, we get:

`20x + 12 = 18x + 15`

And if we solve this simpler equation, we then get:

`2x + 12 = 15`
`2x = 3`
`x = 3/2 " or " 1.5`

Hope that makes sense!