How do you solve #6( x - 7) - 7( x - 6) = x + 6- ( x - 2)#?

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Answer 1 · 2016-11-30T22:33:49

#x = -8#

First, expand the terms within the parenthesis taking special care to manage the signs of the terms correctly:

#6x - 42 - 7x + 42 = x + 6 - x + 2#

Now we can combine like terms on each side of the equation:

#6x - 7x - 42 + 42 = x - x + 6 + 2 ->#

#(6 - 7)x - 0 = 0 + 8#

#-1x = 8#

Finally we can multiply each side of the equation by #-1# to solve for #x#:

#-1*-1x = -1*8 ->#

#x = -8#