1/2(p+1)=3/4(p-1)

Solution for 1/2(p+1)=3/4(p-1) equation:

1/2(p+1)=3/4(p-1)

We simplify the equation to the form, which is simple to understand 
1/2(p+1)=3/4(p-1)

Simplifying:
 + 0.5*(p+1)=3/4*(p-1)

Simplifying:
 + 0.5*(p+1)=0.75*(p-1)

Reorder the terms in parentheses
+( + 0.5p + 0.5)=0.75*(p-1)

Remove unnecessary parentheses
 + 0.5p + 0.5=0.75+*(+p-1+)

Reorder the terms in parentheses
 + 0.5p + 0.5=+( + 0.75p-0.75)

Remove unnecessary parentheses
 + 0.5p + 0.5=0.75p-0.75

We move all terms containing p to the left and all other terms to the right. 
 + 0.5p-0.75p=-0.75-0.5

We simplify left and right side of the equation. 
-0.25p=-1.25

We divide both sides of the equation by -0.25 to get p. 
p=5