Question

I need help asap. I attached a imagine of the question.

Answer 1

`\boxed{n = - 5}`

Explanation:

`\textrm{We have the following equation:}\\\\(n)/(5)+(\left(n-3\right))/(2)=n\\\\\textrm{ and we are asked to solve for n}`

Solution Steps

Multiply throughout by 10 which is the LCM of the denominators, 5 and 2

`(n)/(5)\cdot \:10+(n-3)/(2)\cdot \:10=n\cdot \:10\\\\2n + 5(n-3) = 10n\\`

Expand the brackets:
`5(n-3) = 5n - 15\\\\`

The equation becomes:

2n + 5n - 15 = 10n

Add similar terms:

7n - 15 = 10n

Move 15 to the right side:

7n = 10n + 15

Move 10 to the left side

7n - 10n = 15

- 3n = 15

n = -15/3

`\boxed{n = - 5}`