2/5=5+x/13+x
You asked:
Solve the equation \(\frac{2}{5} = 5 + \frac{x}{13} + x\) for the variable \(x\).
MathBot Answer:
The solution is: \[x = - \frac{299}{70} = -4.2\overline{714285}\]
\[\begin{aligned}\frac{2}{5} &= 5 + \frac{x}{13} + x\\\frac{2}{5} &= \frac{14 x}{13} + 5\\- \frac{14 x}{13} &= \frac{23}{5}\\x &= - \frac{299}{70}\end{aligned}\]