SOLUTION: hi can you help me understand how multiplying fractions by LCM simplifies this linear equation ? even though i know how to do it but i dont understand how it works this is a dir

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Question 1082260: hi can you help me understand how multiplying fractions by LCM simplifies this linear equation ?
even though i know how to do it but i dont understand how it works
this is a direct copy from a book
step 1
step 2
result

my main problem with this is that when we multiply all the fractions by 10 it also has effects on the term x so i dont understand why it dosent change the result if you can please explain step by step how it works thanks.
Found 2 solutions by Fombitz, MathTherapy:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Look at it like this instead.
You're not multiplying by but by instead.
You're trying to get rid of every denominator in your equation and make for simpler addition and subtraction.
.
.
.







Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!

hi can you help me understand how multiplying fractions by LCM simplifies this linear equation ?
even though i know how to do it but i dont understand how it works
this is a direct copy from a book
step 1
step 2
result

my main problem with this is that when we multiply all the fractions by 10 it also has effects on the term x so i dont understand why it dosent change the result if you can please explain step by step how it works thanks.


 --------- Multiplying EACH TERM by LCD, 10

 ---- Cancelling denominators with numerators

5(3x) = 2(x) - 2(39)

15x = 2x - 78

15x - 2x = 78

13x = 78

 

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