Answer: x = -1
Step-by-step explanation:
[tex]\frac{1}{2}-\frac{1}{4}(x+1)=\frac{1}{2}[/tex]
Begin by subtracting [tex]\frac{1}{2}[/tex]
[tex]-\frac{1}{4}(x+1)=\frac{1}{2}-\frac{1}{2}[/tex]
[tex]-\frac{1}{4}(x+1)=0[/tex]
Multiply by -4 to get rid of the fraction.
[tex]-4*-\frac{1}{4}(x+1)=0*-4\\x+1=0[/tex]
Subtract 1
[tex]x=-1[/tex]