So you have: [tex] \frac{3}{x} + 2 = \frac{2}{x} - 1
[/tex]
1) Start off by multiplying both sides by x to simplify the problem: [tex]\frac{3}{x} + 2 = \frac{2}{x} - 1 \\
x(\frac{3}{x} + 2) = (\frac{2}{x} - 1)x\\
3 + 2x = 2 - x
[/tex]
2) Now isolate the x by moving all terms with x onto one side and all other terms onto the other side: [tex]3 + 2x = 2 - x\\
3x = -1[/tex]
3) Finally, divide by 3 on both sides to find the value of x: [tex]3x = -1\\
x = \frac{-1}{3} [/tex]
