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

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 Algebra: Equations Solvers Lessons Answers archive Quiz In Depth

 Question 68393: -(5x-3)+2x=11-3(x+2) -x+3=-2(x+4)+x+11Answer by Edwin McCravy(8909)   (Show Source): You can put this solution on YOUR website!``` Place a 1 between the first negative sign and the parenthesis that follows it: Use the distributive principle to remove the parentheses: Combine like terms: Add 3x to both sides: 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. ------------------------- Use the distributive principle to remove the parentheses: Combine like terms: Add 3x to both sides: 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```