6x - 1/5 - 2x/3 = 3 ??

Question

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Solve the problem and check your answers.

6x - 1/5 - 2x/3 = 3


(The way this is written is in fractions. The top 6x minus 1 over bottom number 5 minus top number 2x over bottom number 3 equals 3)

Answer 1

Assume:-
(6x - 1) / 5 - (2x) / 3 = 3
18x - 3 - 10x = 45
8x = 48
x = 6

Answer 2

This is an equation, so remember what you do to one side, you do to the other.

Eliminate the denominators by using the lowest common denominator. This is 15. Multiply both sides by 15.

15[(6x-1/5) - (2x/3)] = 3 (15)
18x-3-10x=45
18x-10x=45+3
8x=48
8x/8=48/8
x=6

Check:
6(6)-1/5-2(6)/3=3
36-1/5-12/3=3
35/5-4=3
7-4=3
3=3

Answer 3

(6x-1)/5 - 2x/3 = 3
lcm = 15, multiply by 15
=> (6x-1)*3- 2x*5 = 45
=> 18x-3-10x = 45
=> 8x=48
=> x = 6

Answer 4

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

Now multiply through by 15

[15/5 ( 6x -1)] - [15/3 (2x)] = 3*15
3(6x-1) - 5(2x) = 45

Now distribute:
18x -3 -10x = 45

And rearrange:
8x = 48

Now divide by 8 no both sides:
8/8x =48/8

x= 6

Now check your answer:
(6[6] -1) /5 - 2(6)/3 = 3
(36-1)/5 - (12/3) = 3
35/5 - 4 = 3
7-4 = 3
3 = 3

The solution checks out...
x=6

Answer 5

(6x - 1)/5 - 2x/3 = 3
Put it all over a Lowest common denominator;
((18x -3) -(10x)) / 15 = 5
Group like terms and resolve
(8x -3)/15 = 5
Multiply both sides by 15
(8x -3) = 75
8x = 78
4x = 39
x = (39/4) <-- this is thirty nine quarters or 39 over 4)
x = 9 3/4 (nine and three Quarters), or 9.75

Answer 6

6x - 1/5 - 2x/3 = 3
18x/3 - 2x/3 = 16/5
16x/3 = 16/5
x = 3/5

Answer 7

6x-2x/3=3+1/5
(18x-2x)/3 = (15+1)/5
16x * 5 = 16 * 3
5x = 3
x= 3/5