Question

What is the solution to 0.3(n - 5) = 0.4 -0.2(n-7)

Answer 1

Hey!

Let's write the problem.

`0.3\left(n-5\right)=0.4-0.2\left(n-7\right)`
Since we don't want any decimals, we will multiply both sides by
`10`.

`0.3\left(n-5\right)\cdot \:10=0.4\cdot \:10-0.2\left(n-7\right)\cdot \:10`

`3\left(n-5\right)=4-2\left(n-7\right)`
Apply the distributive property...

`3n-15=-2n+18`
Add
`15` to both sides...

`3n-15+15=-2n+18+15`

`3n=-2n+33`
Add
`2n` to both sides.

`3n+2n=-2n+33+2n`

`5n=33`
Divide both sides by
`5`...

`(5n)/(5)=(33)/(5)`
Simplify...

`n=(33)/(5)`

Thanks!
-TetraFish