7(3p-4)=5(3p-5)+1

Solution for 7(3p-4)=5(3p-5)+1 equation:

7(3p-4)=5(3p-5)+1

We simplify the equation to the form, which is simple to understand 
7(3p-4)=5(3p-5)+1

Reorder the terms in parentheses
+(+21p-28)=5*(3p-5)+1

Remove unnecessary parentheses
+21p-28=+5+*(+3p-5+)+1

Reorder the terms in parentheses
+21p-28=+(+15p-25)+1

Remove unnecessary parentheses
+21p-28=+15p-25+1

We move all terms containing p to the left and all other terms to the right. 
+21p-15p=-25+1+28

We simplify left and right side of the equation. 
+6p=+4

We divide both sides of the equation by 6 to get p. 
p=0.66666666666667