how to solve this problem? (6x-1)over 5 - (2x) over 3 =3?

Answer 1

We start with this:
(6x-1)/5 - (2x)/3 = 3

The common denominator is 15; multiply every term by 15:
15*((6x-1)/5) - 15*((2x)/3) = 45

Now you can eliminate the denominator:
3*(6x-1) - 5*(2x) = 45

Simplify:
18x - 3 - 10x = 45
8x = 48
x=6

Before we finish, we must check our answer by substituting 6 for x, and seeing whether both sides of the equation are equal:
(6[6]-1)/5 - (2[6])/3 = 3
35/5 - 12/3 = 3
7 - 4 = 3
3 = 3

These steps are straightforward, and can be used in any question of this kind. Remember to always check you answers: roots can be lost or forgotten in the process of solving. You haven't shown your full work until you have checked your answer.

Answer 2

If you're saying:

(6x - 1)/5 - (2x/3) = 3, then:

First multiply both sides by the lcm of the denominators. For 3 and 5, it's 15. After simplifying:

3(6x - 1) - 5(2x) = 3 * 15

then do the rest of the mulitiplication:

18x - 3 - 10x = 45

and solve for x:

18x - 10x = 45 + 3
8x = 48
x = 6

Answer 3

(6x-a million)/5 - 2x/3 =3 the first step is breaking up the first fraction (6x-a million)/5 = 6x/5 -a million/5 (chop up up the proper) so: 6x/5 -a million/5 - 2x/3 =3 now move the a million/5 to the different part 6x/5 - 2x/3 =3+a million/5=16/5 ingredient out the x x(6/5-2/3) =16/5 now discover the bottom problem-free denomenator (that's 15) x(18/15-10/15) =40 8/5 x(8/15)=40 8/15 and divide each and each part by using 8/15 x=(40 8/15)/(8/15)=6 x=6

Answer 4

find the common least denominator :15
multiply the (6x-1) by 3 and make the 5 into 15
multiply the (2x) by 5 and make the 3 into 15

you are left with 18x-3 - 10x
all over 15
solve as if 15 is not there.

8x - 3 = 3
then +3 on both sides

8x=6
slove the rest!

Answer 5

(6x-1)over 5 - (2x) over 3 =3

{[(6x-1)/5] - [2x/3]} = 3

Multiply each side by 15 (least common denominator):

15*{[(6x-1)/5] - [2x/3]} = 3*15

Simplify:

3*(6x-1) - 5*2x = 45
3*(6x-1) - 10x = 45

Simplify further:

18x - 3 - 10x = 45
8x - 3 = 45
8x = 48
x = 6

==============================================
Test (if you want):

{[(6x-1)/5] - [2x/3]} = 3
{[(6*6-1)/5] - [2*6/3]} = 3
{[(36-1)/5] - [12/3]} = 3
{35/5 - 4} = 3
{7 - 4} = 3
3 = 3

Answer 6

First multiply the whole thing by 15.
So 3(6x-1)-10x=45
18x-3-10x=45
8x=48
x=6
I think this is right,Nita