How do you solve #-7( x + 3) = - 63#?

2 Answers
May 8, 2018

#=>x = 6#

Explanation:

We start with

#-7(x+3) = -63#

We distribute the LHS

#-7x-21 = -63#

We add #21# to both sides

#-7x = -42#

We divide both sides by #-7#

#=>x = 6#

May 8, 2018

The answer to the problem is #color(red)(x=6)#.

Explanation:

Start by distributing #-7# to #(x+3)#.

#-7x-21=-63#

Add #21# to both sides.

#-7x=-42#

And finally, divide both sides by #-7#.

#(-7x)/-7=(-42)/-7#

#x=6#

Plug it back in to check your answer:

#-7(x+3)=-63#
#-7(6+3)=-63#
#-7(9)=-63#
#-63=-63#

Which proves that the answer is #x=6#.