Step 1) Divide each side of the equation by #color(red)(6)# to eliminate the need for parenthesis while keeping the equation balanced:
#(6(5x + 5))/color(red)(6) = 360/color(red)(6)#
#(color(red)(cancel(color(black)(6)))(5x + 5))/cancel(color(red)(6)) = 60#
#5x + 5 = 60#
Step 2) Subtract #color(red)(5)# from each side of the equation to isolate the #x# term while keeping the equation balanced:
#5x + 5 - color(red)(5) = 60 - color(red)(5)#
#5x + 0 = 55#
#5x = 55#
Step 3) Divide each side of the equation by #color(red)(5)# to solve for #x# while keeping the equation balanced:
#(5x)/color(red)(5) = 55/color(red)(5)#
#(color(red)(cancel(color(black)(5)))x)/cancel(color(red)(5)) = 11#
#x = 11#