x-1/6+4 =x-1/4 - 3x+5/2
You asked:
Solve the equation \(x - \frac{1}{6} + 4 = x - \frac{1}{4} - 3 x + \frac{5}{2}\) for the variable \(x\).
MathBot Answer:
The solution is: \[x = - \frac{19}{36} = -0.52\overline{7}\]
\[\begin{aligned}x - \frac{1}{6} + 4 &= x - \frac{1}{4} - 3 x + \frac{5}{2}\\x + \frac{23}{6} &= \frac{9}{4} - 2 x\\3 x &= - \frac{19}{12}\\x &= - \frac{19}{36}\end{aligned}\]