How do you simplify #2x - 7= 5( x - 2) - 3x#?

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Answer 1 · 2016-12-02T20:46:36

Because #3 != 0# the solution to this problem is the null set or #x = {O/}#

Step 1) Expand the terms within parenthesis:

#2x - 7 = 5x - 10 - 3x#

Step 2) Combine like terms on each side of the equation if possible:

#2x - 7 = 5x - 3x - 10#

#2x - 7 = 2x - 10#

Step 3) Isolate all of the #x# terms on one side of the equation and all of the constants on the other side of the equation:

#2x - 7 - 2x + 10 = 2x - 10 - 2x + 10#

#-7 + 10 = 2x - 2x#

#3 = 0#

Because #3 != 0# the solution to this problem is the null set or #x = {O/}#