Question

I need help, please! Problem below:

Answer 1

\[\frac{ x+1 }{ 5 }-\frac{ x-6 }{ 3 }=\frac{ 1 }{ 3 }\] solve for x

Answer 2

you could clear the fractions by multiplying both sides by 5*3 aka 15

Answer 3

that should make the problem easier for you

Answer 4

let me see what you after doing this step please

Answer 5

I got x+1-x-6=1 then I made it 1x+1+6=1 The answer I got is x=-6

Answer 6

Please check your answer by substituting it back into the original equation. Is that equation now true?

Answer 7

Multiplying the original equation by the LCD (which is 15) results in

3(x+1) - 5)x-6) = 5, which differs from your result. Try solving this for x and checking your result. This will help you zero in on the correct approach.

Answer 8

As LCM is multiply both side by 15
You get 15(x+1)/5 -15(x-6)/3=15/3
3(x+1)-5(x-6)=5
Now solve it by distribution..

Answer 9

By distribution
3*x +3*1 - 5*x -5*(-6)=5
3x+3-5x+30=5
-2x+33=5
Can you solve this for x?

Answer 10

x=14
right?

Answer 11

Yes right