Question

7Bx%7D%7B7%7D%20" id="TexFormula1" title=" \frac{5}{7 } + \frac{x}{2} = 2 - \frac{x}{7} " alt=" \frac{5}{7 } + \frac{x}{2} = 2 - \frac{x}{7} " align="absmiddle" class="latex-formula">
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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:

$x = 2$