$$4x+\frac{3}{5}-\frac{2x}{3}=\frac{x}{5}-\frac{5}{6}$$
You asked:
Solve the equation \(4 x + \frac{3}{5} - \frac{2 x}{3} = \frac{x}{5} - \frac{5}{6}\) for the variable \(x\).
MathBot Answer:
The solution is: \[x = - \frac{43}{94} = -0.4\overline{5744680851063829787234042553191489361702127659}\]
\[\begin{aligned}4 x + \frac{3}{5} - \frac{2 x}{3} &= \frac{x}{5} - \frac{5}{6}\\\frac{10 x}{3} + \frac{3}{5} &= \frac{x}{5} - \frac{5}{6}\\\frac{47 x}{15} &= - \frac{43}{30}\\x &= - \frac{43}{94}\end{aligned}\]