1/3 - x+1/5 = x/3
15(1/3-x/5+1/5) = 15(x/3)
15/3-15x/5+15/5 = 15x/3
5-3x+3=5x
8-3x=5x
8/8=8x/8
x=1
The book gets 1/4
have I made a mistep, Ive done this problem 3 times?
Here is the first mistake: You didn't use brackets! Actually you mean:
1/3 - (x+1)/5 = x/3
Better learn some LaTeX.To multiply through by 15 is the right idea:
15(1/3-x/5+1/5) = 15(x/3)
15/3-15x/5+15/5 = 15x/3
5-3x+3=5x
8-3x=5x
8/8=8x/8
x=1
The book gets 1/4
have I made a mistep, Ive done this problem 3 times?
$\displaystyle \dfrac13-\dfrac{x+1}5 = \dfrac x3~\buildrel\cdot \rem 15 \over \implies ~ 5-3(x+1)=5x$
Expand the bracket, collect like terms - and you'll get the given result.