3/5-2/3-3x/3+x/2=x-5/10
You asked:
Solve the equation \(\frac{3}{5} - \frac{2}{3} - \frac{3 x}{3} + \frac{x}{2} = x - \frac{5}{10}\) for the variable \(x\).
MathBot Answer:
The solution is: \[x = \frac{13}{45} = 0.2\overline{8}\]
\[\begin{aligned}\frac{3}{5} - \frac{2}{3} - \frac{3 x}{3} + \frac{x}{2} &= x - \frac{5}{10}\\- \frac{x}{2} - \frac{1}{15} &= x - \frac{1}{2}\\- \frac{3 x}{2} &= - \frac{13}{30}\\x &= \frac{13}{45}\end{aligned}\]