Can anybody solve this problem and tell me how?

Question

2/5x+3/7=1- 4/7x

find x

Answer 1

(2 / 5)x + 3 / 7 =1 - (4 / 7)x

Add (4 / 7)x to each side to get all x terms on the left:

(2 / 5)x + (4 / 7)x + 3 / 7 = 1

Subtract 3 / 7 to get all numerical terms on the right:

(2 / 5)x + (4 / 7)x = 1 - 3 / 7.

[ (2 / 5) + (4 / 7) ]x = 1 - 3 / 7

= (7 - 3) / 7

= 4 / 7.

Adding the fractions on the left:

[ (14 + 20) / 35 ] x = 4 / 7

(34 / 35)x = 4 / 7

Dividing by 34 / 35:

x = (4 / 7) / (34 / 35)

= (4 / 7) * (35 / 34)

= 2 * 5 / 17

= 10 / 17.