2/3n=4n-10/3n-1/2 can you show me how to do it step by step

Step-by-step explanation:

The fractions are what make the equation look complicated.

Because it is an equation you can get rid of the fractions by multiplying each term by the LCM of the denominators.

(This is somewhat easier than trying to make all the denominators the same first.)

2

3

n

=

4

n

−

10

3

n

−

1

2

(LCM of 3 and 2 is

6

)

6

×

2

3

n

=

6

×

4

n

−

6

×

10

3

n

−

6

×

1

2

Now cancel the denominators and simplify.

6

2

×

2

3

n

=

6

×

4

n

−

6

2

×

10

3

n

−

6

3

×

1

2

4

n

=

24

n

−

20

n

−

3

4

n

=

4

n

−

3

0

=

−

3