(x-3)/2-x/3=(x-2)/3+3/2
You asked:
Solve the equation \(\frac{x - 3}{2} - \frac{x}{3} = \frac{x - 2}{3} + \frac{3}{2}\) for the variable \(x\).
MathBot Answer:
The solution is: \[x = -14\]
\[\begin{aligned}\frac{x}{6} - \frac{3}{2} &= \frac{x}{3} + \frac{5}{6}\\- \frac{x}{6} &= \frac{7}{3}\\x &= -14\end{aligned}\]