How do you solve #-14( - 10x - 13) = 1162#?

1 Answer
Dec 14, 2016

#x = 7#

Explanation:

Step 1) Expand the terms within the parenthesis paying special attention to the signs:

#(-14 xx -10x) + (-14 xx - 13) = 1162#

#140x + 182 = 1162#

Now we can solve for #x# while keeping the equation balanced:

#140x + 182 - 182 = 1162 - 182#

#140x + 0 = 980#

#140x = 980#

#(140x)/140 = 980/140#

#(cancel(140)x)/cancel(140) = 7#

#x = 7#