Question

`(5)/(7 ) + (x)/(2) = 2 - (x)/(7)`
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Answer 1

For this case we must solve the following equation:

`\frac {5} {7} + \frac {x} {2} = 2- \frac {x} {7}`

So, we have:

`\frac {10 + 7x} {14} = \frac {14-x} {7}\\7 (10 + 7x) = 14 (14-x)`

We apply distributive property to both sides of the equation:

`70 + 49x = 196-14x`

We add 14x to both sides of the equation:

`70 + 49x + 14x = 196\\70 + 63x = 196`

We subtract 70 to both sides of the equation:

`63x = 196-70\\63x = 126\\x = \frac {126} {63}\\x = 2`

So, the solution is:
`x = 2`

Answer:

`x = 2`