How do you check that the solution is 9 for the equation #3(x - 1) - 2(x + 3) = 0#?

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Answer 1 · 2014-09-28T17:48:35

#3( x-1) -2 (x+3) =0#

Distribute the #3# and the #-2#

#3*x -3*1 -2*x -2*3 = 0#

#3x -3 -2x -6 = 0#

Group the like terms

#3x -2x -3 -6 =0#

Combine the like terms

#x -9 = 0#

adding #9# on both sides to get value of #x# ;

#x-9 + 9 = 0 +9#

#x =9#

In order to check if #9# is the correct answer , substitute #9# as value of #x# in the above equation;

#3( x-1) -2 (x+3) =0#

#3 ( 9-1) -2 (9 +3) =0#

#3(8) -2 (12) =0#

#24 -24 =0# ( Proved)