\frac{1}{3}x+\frac{1}{2}x+\frac{3}{10}=x+\frac{5}{6}
You asked:
Solve the equation \(\frac{1}{3} \cdot x + \frac{1}{2} \cdot x + \frac{3}{10} = x + \frac{5}{6}\) for the variable \(x\).
MathBot Answer:
The solution is: \[x = - \frac{16}{5} = -3.2\]
\[\begin{aligned}\frac{1}{3} \cdot x + \frac{1}{2} \cdot x + \frac{3}{10} &= x + \frac{5}{6}\\\frac{5 x}{6} + \frac{3}{10} &= x + \frac{5}{6}\\- \frac{x}{6} &= \frac{8}{15}\\x &= - \frac{16}{5}\end{aligned}\]