For this case we must solve the following equation:
[tex]\frac {5} {7} + \frac {x} {2} = 2- \frac {x} {7}[/tex]
So, we have:
[tex]\frac {10 + 7x} {14} = \frac {14-x} {7}\\7 (10 + 7x) = 14 (14-x)[/tex]
We apply distributive property to both sides of the equation:
[tex]70 + 49x = 196-14x[/tex]
We add 14x to both sides of the equation:
[tex]70 + 49x + 14x = 196\\70 + 63x = 196[/tex]
We subtract 70 to both sides of the equation:
[tex]63x = 196-70\\63x = 126\\x = \frac {126} {63}\\x = 2[/tex]
So, the solution is: [tex]x = 2[/tex]
Answer:
[tex]x = 2[/tex]
