Question

How do you solve `2(f-3) + 5 = 3(f-1)`?

Answer 1

`color(blue)(f=2)`

Explanation:

Given
`color(white)("XXX")2(f-3)+5=3(f-1)`

Simplifying each side:
`L.S.`
`color(white)("XXX")=2(f-3)+5`
`color(white)("XXX")=2f-6+5`
`color(white)("XXX")=2f-1`
`R.S.`
`color(white)("XXX")=3(f-1)`
`color(white)("XXX")=3f-3`

Since `L.S.=R.S.`
`color(white)("XXX")2f-1=3f-3`

Subtracting `2f` from both sides
`color(white)("XXX")-1=f-3`
then adding `3` to both sides
`color(white)("XXX")2=fcolor(white)("xxxxxxxx")" or, if you prefer: "f=2`