How do you solve #4(7x - 2) = - 36#?

1 Answer
Jun 11, 2017

See a solution process below"

Explanation:

Step 1) Divide each side of the equation by #color(red)(4)# to eliminate the need for parenthesis while keeping the equation balanced:

#(4(7x - 2))/color(red)(4) = -36/color(red)(4)#

#(color(red)(cancel(color(black)(4)))(7x - 2))/cancel(color(red)(4)) = -9#

#7x - 2 = -9#

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

#7x - 2 + color(red)(2) = -9 + color(red)(2)#

#7x - 0 = -7#

#7x = -7#

Step 3) Divide each side of the equation by #color(red)(7)# to solve for #x# while keeping the equation balanced:

#(7x)/color(red)(7) = -7/color(red)(7)#

#(color(red)(cancel(color(black)(7)))x)/cancel(color(red)(7)) = -1#

#x = -1#