x - \(\frac{3}{2}\) x + 4 = - \(\frac{1}{2}\)
First, simplify \(\frac{3}{2} x\) to \(\frac{3x}{2}\) / Your problem should look like: x - \(\frac{3x}{2}\) + 4 = - \(\frac{1}{2}\)
Second, simplify x - \(\frac{3x}{2}\) + 4 to \(- \frac{x}{2}\) + 4 / Your problem should look like: \(-\frac{x}{2}\) + 4 = \(-\frac{1}{2}\)
Third, regroup terms. / Your problem should look like: 4 - \(\frac{x}{2}\) = - \(\frac{1}{2}\)
Fourth, multiply both sides by 2. / Your problem should look like: 8 - x = -1
Fifth, subtract 8 from both sides. / Your problem should look like: -x = -1 - 8
Sixth, simplify -1 - 8 to -9. / Your problem should look like: -x = -9
Seventh, multiply both sides by -1. / Your problem should look like: x = 9
Answer: x = 9
