How do you solve #77+9x+41=180#?

1 Answer
Jul 28, 2017

See a solution process below:

Explanation:

Step 1) Group and combine like terms on the left side of the equation:

#9x + 77 + 41 = 180#

#9x + (77 + 41) = 180#

#9x + 118 = 180#

Step 2) Subtract #color(red)(118)# from each side of the equation to isolate the #x# term while keeping the equation balanced:

#9x + 118 - color(red)(118) = 180 - color(red)(118)#

#9x + 0 = 62#

#9x = 62#

Step 3) Divide each side of the equation by #color(red)(9)# to solve for #x# while keeping the equation balanced:

#(9x)/color(red)(9) = 62/color(red)(9)#

#(color(red)(cancel(color(black)(9)))x)/cancel(color(red)(9)) = 62/9#

#x = 62/9#