3(2x-3)+7(2-x)=14-5(x-3)

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Solution for 3(2x-3)+7(2-x)=14-5(x-3) equation:



3(2x-3)+7(2-x)=14-5(x-3)
We move all terms to the left:
3(2x-3)+7(2-x)-(14-5(x-3))=0
We add all the numbers together, and all the variables
3(2x-3)+7(-1x+2)-(14-5(x-3))=0
We multiply parentheses
6x-7x-(14-5(x-3))-9+14=0
We calculate terms in parentheses: -(14-5(x-3)), so:
14-5(x-3)
determiningTheFunctionDomain -5(x-3)+14
We multiply parentheses
-5x+15+14
We add all the numbers together, and all the variables
-5x+29
Back to the equation:
-(-5x+29)
We add all the numbers together, and all the variables
-1x-(-5x+29)+5=0
We get rid of parentheses
-1x+5x-29+5=0
We add all the numbers together, and all the variables
4x-24=0
We move all terms containing x to the left, all other terms to the right
4x=24
x=24/4
x=6

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