Question

Solve for x
5/7(x+2)-3/7x=2/7(x+5)

Infinite
No solution
x=1
x=3

Answer 1

infinite

Explanation:

`(5)/(7)(x+2)-(3)/(7)x=(2)/(7)(x+5) \\ \\ 5(x+2)-3x=2(x+5) \\ \\ 5x+10-3x=2x+10 \\ \\ 2x+10=2x+10`

Since we get an identity, there are infinitely many solutions.