SOLUTION: -(5x-3)+2x=11-3(x+2) -x+3=-2(x+4)+x+11

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Question 68393: -(5x-3)+2x=11-3(x+2)


-x+3=-2(x+4)+x+11

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

-%285x+-+3%29+%2B+2x+=+11+-+3%28x+%2B+2%29

Place a 1 between the first negative sign and
the parenthesis that follows it:

-1%285x+-+3%29+%2B+2x+=+11+-+3%28x+%2B+2%29

Use the distributive principle to remove the 
parentheses:

+-1%2A5x+%2B+1%2A3+%2B+2x+=+ll+-+3%2Ax+-+3%2A2

-5x+%2B+3+%2B+2x+=+11+-+3x+-+6

Combine like terms:

-3x+%2B+3+=+5+-+3x

Add 3x to both sides:

3+=+5 

That is a FALSE numerical equation
(all variables cancelled out).  When 
this occurs there is no solution. So
you write "solution set = Ø"

Such an equation is called a
"contradiction". NO number substituted
for x will make it true.  NO NUMBER
is a solution.

-------------------------

-x+%2B+3+=+-2%28x+%2B+4%29+%2B+x+%2B+11

Use the distributive principle to remove 
the parentheses:

-x+%2B+3+=+-2%2Ax+-+2%2A4+%2B+x+%2B+11

-x+%2B+3+=+-2x+-+8+%2B+x+%2B+11

Combine like terms:

-x+%2B+3+=+-x+%2B+3

Add 3x to both sides:

3+=+3 

That is a TRUE numerical equation
(all variables cancelled out).  When 
this occurs the solution set is 
"all real numbers". So
you write "solution set = R"

Such an equation is called an "identity".
EVERY number substituted for x will make it
true. EVERY number is a solution.

Edwin