Answer and Step-by-step explanation:
The answer you should be getting is [tex]x=4[/tex]
Step 1: Simplify both sides of the equation :
[tex](\frac{-1}{2})(x)+(\frac{-1}{2})(2)+\frac{3}{2}x=3[/tex] [tex](Distribute)[/tex]
[tex]\frac{-1}{2}x+-1+\frac{3}{2}x=3[/tex]
[tex](\frac{-1}{2}x+\frac{3}{2}x)+(-1)=3[/tex] [tex](Combine the like terms)[/tex]
[tex]x+-1=3[/tex]
[tex]x-1=3[/tex]
Step 2: Add 1 to both the sides :
[tex]x-1+1=3+1[/tex]
[tex]x=4[/tex]
You got your answer as x = 4