3(2x-5)=5(7-3x)-(6-x)

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Solution for 3(2x-5)=5(7-3x)-(6-x) equation:



3(2x-5)=5(7-3x)-(6-x)
We move all terms to the left:
3(2x-5)-(5(7-3x)-(6-x))=0
We add all the numbers together, and all the variables
3(2x-5)-(5(-3x+7)-(-1x+6))=0
We multiply parentheses
6x-(5(-3x+7)-(-1x+6))-15=0
We calculate terms in parentheses: -(5(-3x+7)-(-1x+6)), so:
5(-3x+7)-(-1x+6)
We multiply parentheses
-15x-(-1x+6)+35
We get rid of parentheses
-15x+1x-6+35
We add all the numbers together, and all the variables
-14x+29
Back to the equation:
-(-14x+29)
We get rid of parentheses
6x+14x-29-15=0
We add all the numbers together, and all the variables
20x-44=0
We move all terms containing x to the left, all other terms to the right
20x=44
x=44/20
x=2+1/5

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