SOLUTION: summer homework,forget how to do it- five x minus 1 over 9 plus two x plus 4 over 6 equals three x minus four over 3. Solve for x.thank you

Question 95372: summer homework,forget how to do it- five x minus 1 over 9 plus two x plus 4 over 6 equals three x minus four over 3. Solve for x.thank you
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
five x minus 1 over 9 plus two x plus 4 over 6 equals three x minus four over 3. Solve for x.
:
Assume you mean:
+ =
;
Choose a multiplier that is a multiple of all 3 denominators, 18 will work:
18 + 18 = 18
:
Cancel out the denominators and you have:
2(5x-1) + 3(2x+4) = 6(3x-4)
:
Multiply what's inside the brackets:
10x - 2 + 6x + 12 = 18x - 24
:
16x + 10 = 18x - 24
:
16x - 18x = -24 - 10
:
-2x = -34
:
x = -34/-2
:
x = +17
:
:
Check our solution; substitute 17 for x in the original equation
+ =
:
+ =
:
+ =
:
Put over the common denominator of 18 and you have:
+ = ; confirms our solution

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