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