Question

How do you solve `5(1+4m)=2(3+10m)`?

Answer 1

Something wrong with your question!

Explanation:

Multiply the content of each bracket by the number that is outside.

`(5xx1)+(5xx4m) = (2xx3)+(2xx10m)`

`5+20m=6+20m`

Subtract `20m` from both sides giving

`5=6 color(red)(larr" THIS IS VERY WRONG")`
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(red)("Suppose instead that you question was meant to be:")`

`5(1-4m)=2(3+10m)`

`5-20m=6+20m`

Add `20m` to both sides

`5-20m+20m=6+20m+20m`

`5+0=6+40m`

Subtract 6 from both sides

`-1=40m`

Divide both sides by 40

`m=-1/40`