How do you solve #-6( - 7x - 6) = 8x + 36#?

1 Answer
May 21, 2017

Answer:

See a solution process below:

Explanation:

First, expand the term in parenthesis on the left side of the equation by multiplying each term within the parenthesis by the term outside the parenthesis:

#color(red)(-6)(-7x - 6) = 8x + 36#

#(color(red)(-6) * -7x) + (color(red)(-6) * - 6) = 8x + 36#

#42x + 36 = 8x + 36#

Next, subtract #color(red)(36)# and #color(blue)(8x)# from each side of the equation to isolate the #x# term while keeping the equation balanced:

#-color(blue)(8x) + 42x + 36 - color(red)(36) = -color(blue)(8x) + 8x + 36 - color(red)(36)#

#(-color(blue)(8) + 42)x + 0 = 0 + 0#

#34x = 0#

Now, divide each side of the equation by #color(red)(34)# to solve for #x# while keeping the equation balanced:

#(34x)/color(red)(34) = 0/color(red)(34)#

#(color(red)(cancel(color(black)(34)))x)/cancel(color(red)(34)) = 0#

#x = 0#