Question

How do you solve `\frac { 3} { 8} ( 14- x ) = - 3x + 6`?

Answer 1

To simplify equations like this, you need to get rid of the nasty fractions first. Then things will start to fall into place.

`x=2/7`

Explanation:

We have: `3/8(14-x)=-3x+6`

To get rid of nasty fraction,

multiply everything by `8:to` `3(14-x)=-24x+48`

Clear out the parenthesis: `42-3x=-24x+48`

Accumulate like terms: `-3x+24x=48-42`

Combine like terms: `21x=6`

Answer: `x=6/21=2/7`

To check: `3/8(14-(2/7))=-3(2/7)+6`

Get rid of nasty fraction: `3(14-(2/7))=-24(2/7)+48`

Clear out the parenthesis: `42-6/7=-48/7+48`

Accumulate like terms: `-6/7 +48/7=6`

Combine like terms: `42/7=6`

Get rid of nasty fraction: `6=6to` Oh yeah!