we have
[tex]\frac{1}{2} -\frac{1}{3}(6x-3)=-\frac{13}{2}[/tex]
Step [tex]1[/tex]
Use distributive property to simplify
[tex]\frac{1}{2} -\frac{1}{3}(6x-3)=-\frac{13}{2}[/tex]
[tex]\frac{1}{2} -\frac{1}{3}(6x)+\frac{1}{3}(3)=-\frac{13}{2}[/tex]
[tex]\frac{1}{2} -2x+1=-\frac{13}{2}[/tex]
Step [tex]2[/tex]
Simplify by combining like terms
[tex](\frac{1}{2}+1)-2x=-\frac{13}{2}[/tex]
[tex]\frac{3}{2}-2x=-\frac{13}{2}[/tex]
Step [tex]3[/tex]
Isolate the variable expression by using the addition property of equality
[tex]\frac{3}{2}-2x-\frac{3}{2}=-\frac{13}{2}-\frac{3}{2}[/tex]
[tex]-2x=-8[/tex]
Step [tex]4[/tex]
Isolate the variable by using the division property of equality
[tex]-2x/-2=-8/-2[/tex]
[tex]x=4[/tex]
therefore
the answer is the option
A.Simplify by combining like terms.