# How do you solve 7/5x+3/5= -x?

Jul 1, 2015

$x = - \frac{1}{4}$

#### Explanation:

7/5.x+3/5=−x

Let us write "$- x$" otherwise :

<=> 7/5.x+3/5=−5/5.x

If we add the same value to each side, we maintain the equality :

<=> 7/5.x+3/5 color(red)+ color(red)(5/5.x)=−5/5.x color(red)+ color(red)(5/5.x)

Add together fractions with a unknown & with the same denominator :

<=>$\textcolor{g r e e n}{\frac{7}{5.} x} + \frac{3}{5} + \textcolor{g r e e n}{\frac{5}{5.} x} = 0$

<=>$\textcolor{g r e e n}{\frac{12}{5.} x} + \frac{3}{5} = 0$

Substract -3/5 to each member of equality :

<=>$\frac{12}{5.} x = - \frac{3}{5}$

Multiply by 5 each side :

<=>$12 x = - 3$

<=>$x = - \frac{3}{12}$

<=>$x = - \frac{1}{4}$

7/5.x+3/5=−x <=> 7x+3=−5x