SOLUTION: Hi all, im struggling to finish off some work at the moment. (There are 3 seperate equations all of the same type). Find x such that 3 - (3/2)x = 8 - 2x is satisfied. Find x s

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Question 199592: Hi all, im struggling to finish off some work at the moment. (There are 3 seperate equations all of the same type).
Find x such that 3 - (3/2)x = 8 - 2x is satisfied.
Find x such that 6 - (5/2)x = 12 + 10x is satisfied.
Find x such that 6 + 3x = 18 + 15x is satisfied.
Detailed explantaions of how to solve the previous would be greatly appreciated.
Thnaks, Nick.

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
# 1

Start with the given equation.


Multiply EVERY term by the LCD to clear any fractions.


Multiply.


Subtract from both sides.


Add to both sides.


Combine like terms on the left side.


Combine like terms on the right side.


----------------------------------------------------------------------

Answer:

So the solution is






# 2

Start with the given equation.


Multiply EVERY term by the LCD to clear any fractions.


Multiply.


Subtract from both sides.


Subtract from both sides.


Combine like terms on the left side.


Combine like terms on the right side.


Divide both sides by to isolate .


Reduce.


----------------------------------------------------------------------

Answer:

So the solution is which in decimal form is .






# 3



Start with the given equation.


Subtract from both sides.


Subtract from both sides.


Combine like terms on the left side.


Combine like terms on the right side.


Divide both sides by to isolate .


Reduce.


----------------------------------------------------------------------

Answer:

So the solution is

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