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+CollectthevariabletermsjjuAxlFlHfrziNgvhntwsf9rDesjeLrmv3eGdjEx(it’satrickyone)+2(y+4)=5(y–3)+Checkx–=2x+Originalequation LEVELSolveeachequationwithvariablesonbothsides)2n = 5n+4n{5})5m =m++m+{4})3p+= +6p{4}) 5x+= 7x{6}Useinverse operationstogetthevariableallbyitselfononesideoftheequation,andthengettheintegers(numbers)aloneontheothersideoftheequationy+yAddyto eachsideSolveeachequationxxxxaaxxx xxGetthevariablebyitselfononesideGettheconstantsontheothersideSolvingEquationswithVariablesonBoth SidesSolvex 9xLEVELSolveeachequationwithvariablesonbothsides)2n = 5n+4n{5})5m =m++m+{4})3p+= +6p{4}) 5x+= 7x{6} LEVELSolveeachmulti-stepequationwithvariablesonbothsides)+7x= 3(5 4x){4})8(5 6v)= 7 v{1}) 7 5aTosolveanequationwith variablesonbothsides,collectthevariabletermsononesideandtheconstanttermsontheotherside 3y=SimplifyUselinearequationstosolvereal-life problems.Examplesx=2x+(subtract2xfrombothsides)5x+=2x+(subtract2xfrombothsides)3x=(dividebothsidesby3)3x+=(subtractfrombothsides)x =Givenareal-worldcontext,writeandsolveone-variablemulti-steplinearequations.Tosolveanequationwithvariablesonbothsides,simplifyoneorbothsides oftheequation,ifnecessaryTosolveanequationwithvariablesonbothsides,simplifyoneorbothsidesoftheequation,ifnecessarygbgMdagdkeN Lw6ixtWhXCIenWf4ionPijt1eLTAHlWgferbUrTa0m2ObWorksheetbyKutaSoftwareLLCSolvingEquationswithVariablesonBothSidesExamplex= 2x+xx=2xx+Subtract2xfrombothsidesx=x+=+AddtoGetthevariablebyitselfononesideGettheconstantsontheothersideLessonQuizSolvingEquations withVariablesonBothSidesThenisolatethevariable 4y= yWritetheequationExamplesx=SolvingEquationswithVariablesonBothSidesCheckx–= 2x+OriginalequationLessonQuizTRansparencyThenuseinverseEquationswithVariablesonBothSidesSolveeachequation,ifpossibleLessonQuiz TRansparency.Substituteyouranswerintotheequation.Thenuseinverseoperationstocollectthevariabletermsononeside,collecttheconstanttermsonthe otherside,andisolatethevariableLessonQuizjjuAxlFlHfrziNgvhntwsf9rDesjeLrmv3eGdjIfbothsidesmatch,thencelebrate!!!Solveeachequationx Uselinearequationstosolvereal-lifeproblemsCheckn+=7nYourTurn:Showallsteps&CHECKyouranswersgbThevariablemustbeisolatedononeside oftheequationCheckyoursolutionSolvex9x21)Explaintwowaysyoucouldsolve=5(3+x)©DgU1Y5KUuPtxatnSTozfHtKw4aDrFeyyLzLpCJTo solveanequationwithvariablesonbothsides,useinverseoperationstocollectthevariabletermsononesideandtheconstanttermsontheothersideSubstitute youranswerintotheequationIfUseinverseoperationstogetthevariableallbyitselfononesideoftheequation,andthengettheintegers(numbers)aloneonthe othersideoftheequationEXAMPLESolvinganEquationwithVariablesonBothSidesSolve 4y= ySimplifySimplifyIfthereisnosolution,write"no solution";ifitistheidentitysituation,write"allrealnumbers")m 21)Explaintwowaysyoucouldsolve=5(3+x)©DgU1Y5KUuPtxatnSTozfHtKw4aDrFe yyLzLpCJ