Start from
[tex] -\dfrac{1}{2}(x+5)=2x -\dfrac{3}{2} [/tex]
It may be useful to multiply the whole expression by 2, in order to get rid of denominators:
[tex] -(x+5)=4x -3[/tex]
Distribute the negative sign in the left hand side:
[tex] -x-5=4x -3[/tex]
Move all terms involving x to the left, and all constants to the right:
[tex] -x-4x=-3+5[/tex]
Sum like terms:
[tex] -5x=2[/tex]
DIvide both sides -5:
[tex] x = -\dfrac{2}{5} [/tex]
