how to solve fraction 7x/8+3/4=5/2?

7x/8+3/4=5/2

2(7x/8+3/4)=5

7x/4+6/4=5

(7x+6)/4=5

7x+6=5*4

7x+6=20

7x=20-6

7x=14

x=14/7

x=2

7x + 6 = 20

7x = 14

x = 2

8(7x/8 + 3/4) = 8(5/2)
7x + 2(3) = 4(5)
7x + 6 = 20
7x = 20 - 6
x = 14/7
x = 2

7x/8 + 3/4 = 5/2 get rid of fractions by multiplying through by 8
then (8)7x/8 + (8)3/4 = (8)5/2
cancelling 7x + (2)3 = (4)5
7x + 6 = 20
giving 7x = 20 - 6
7x = 14 => x = 2

Find a common denominator... which in this case would be 8

so you can re-write it as....

7x/8 + 6/8 = 20/8

you can eliminate the denominator so...

7x + 6 = 20

solve for x...

x=2