How do you solve #3= - \frac { c - 11} { 4}#?

1 Answer
May 22, 2017

See a solution process below:

Explanation:

First, multiply each side of the equation by #color(red)(-4)# to eliminate the fraction while keeping the equation balanced:

#color(red)(-4) xx 3 = color(red)(-4) xx (c - 11)/(-4)#

#-12 = cancel(color(red)(-4)) xx (c - 11)/color(red)(cancel(color(black)(-4)))#

#-12 = c - 11#

Next, add #color(red)(11)# to each side of the equation to solve for #c# while keeping the equation balanced:

#-12 + color(red)(11) = c - 11 + color(red)(11)#

#-1 = c - 0#

#-1 = c#

#c = -1#