Question

I do not understand how to do this problem. I am very confused and need help. x-3/2x+4=-1/2

Answer 1

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