Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 2.5}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ \frac{3}{x - 1} = 2}[/tex]
Do cross multiplication
[tex] \longrightarrow{ \sf{2(x - 1) = 3}}[/tex]
Distribute 2 through the parentheses
[tex] \longrightarrow{ \sf{2x - 2 = 3}}[/tex]
Move 2 to right hand side and change it's sign
[tex] \longrightarrow {\sf{2x = 3 + 2}}[/tex]
Add the numbers : 3 and 2
[tex] \longrightarrow{ \sf{2x = 5}}[/tex]
Divide both sides by 2
[tex] \longrightarrow{ \sf{ \frac{2x}{2} = \frac{5}{2}}} [/tex]
Calculate
[tex] \longrightarrow{ \sf{x = 2.5}}[/tex]
Hope I helped!
Best regards! :D
