SOLUTION: 3x+1=6. how do i find out what x is?

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 Question 29582: 3x+1=6. how do i find out what x is? Answer by sdmmadam@yahoo.com(530)   (Show Source): You can put this solution on YOUR website!3x+1=6. how do i find out what x is? 3x+1=6. ----(1) This is a linear equation in x. (that is an equation in the variable x with the highest power for x equal to 1) Here x is the unknown and three times x added to 1 is 6 (3x+1)-1 = 6-1 (Subtracting 1 from both the sides) 3x+(1-1) = 5 (by additive associativity) 3x+0 =5 3x= 5 x= 5/3 Answer: x = 5/3 Verification: Put x = 5/3 in (1) LHS = 3x+1 = 3X(5/3)+1 = 5+1 = 6 = RHS Therefore our value for x is correct. Note: why did we subtract 1 both the sides? We observe 1 added to 3x on the left side and inorder to retain only the term containing the unknown x we have to remove mathematically the term 1 from the left side. So we add (-1)to both the sides or subtract 1 from both the sides toget rid of 1 from the left. Though we have so much mathematics behind the whole thing,we may practically handle the problem the following way Consider 3x+1=6. Taking 1 from the left side to the right side following the rule : change side then change sign 3x= 6-1 3x=5 three multiplied by x is 5 Therefore divide both sides to get (1)x that is our unknown x. Got it!