How do you solve #6( 5x + 5) = 360?#

1 Answer
Aug 1, 2017

See a solution process below:

Explanation:

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#