SOLUTION: I get so confused on how to do these problems. 85-6x=44+15x

Question 1098072: I get so confused on how to do these problems.
85-6x=44+15x
Found 3 solutions by Jeetbhatt10th, Theo, ikleyn:
Answer by Jeetbhatt10th(11)   (Show Source): You can put this solution on YOUR website!
85-44=15x+6x
=> 41=21x
=>x=41/21 (answer)
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
basic idea is to get the unknown variable that you want to solve for on one side of the equation and everything else on the other side.

the basic rule for solving equations is that, whatever you do to one side of the equation, you have to do to the other.

this particular problem is solved in the following manner.

start with 85 - 6x = 44 + 15x

add 6x to both sides of the equation to get:

85 - 6x + 6x = 44 + 15x + 6x

combine like terms to get 85 = 44 + 21x

subtract 44 from both sides of the equation to get:

85 - 44 = 44 + 21x - 44

combine like terms to get 41 = 21x

divide both sides of the equation by 21 to get:

41/21 = 21x/21

simplify to get 41/21 = x

your original equation should be true when x = 41/21.

to confirm, replace x with 41/21 in your original equation and evaluate it to see if it is true.

original equation is 85 - 6x = 44 + 15x

when x = 41/21, this becomes 85 - 6 * 41/21 = 44 + 15 * 41/21

simplify to get 85 - 246/21 = 44 + 615/21

multiply both sides of this equation by 21 to get:

21*85 - 21*246/21 = 21*44 + 21*615/21

simplify to get 1785 - 246 = 924 + 615

combine like terms to get 1539 = 1539 which is true.

the solution is confirmed to be good.

the solution is that x = 41/21.

Answer by ikleyn(52858)   (Show Source): You can put this solution on YOUR website!
.
On solving single linear equation in one unknown see the lesson
    - HOW TO solve a linear equation
in this site.

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