x - [tex] \frac{3}{2} [/tex] x + 4 = - [tex] \frac{1}{2} [/tex]
First, simplify [tex] \frac{3}{2} x[/tex] to [tex] \frac{3x}{2} [/tex] / Your problem should look like: x - [tex] \frac{3x}{2} [/tex] + 4 = - [tex] \frac{1}{2} [/tex]
Second, simplify x - [tex] \frac{3x}{2} [/tex] + 4 to [tex]- \frac{x}{2} [/tex] + 4 / Your problem should look like: [tex] -\frac{x}{2} [/tex] + 4 = [tex] -\frac{1}{2} [/tex]
Third, regroup terms. / Your problem should look like: 4 - [tex] \frac{x}{2} [/tex] = - [tex] \frac{1}{2} [/tex]
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
