3(x-4)=-2(5-3x)

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Solution for 3(x-4)=-2(5-3x) equation:



3(x-4)=-2(5-3x)
We move all terms to the left:
3(x-4)-(-2(5-3x))=0
We add all the numbers together, and all the variables
3(x-4)-(-2(-3x+5))=0
We multiply parentheses
3x-(-2(-3x+5))-12=0
We calculate terms in parentheses: -(-2(-3x+5)), so:
-2(-3x+5)
We multiply parentheses
6x-10
Back to the equation:
-(6x-10)
We get rid of parentheses
3x-6x+10-12=0
We add all the numbers together, and all the variables
-3x-2=0
We move all terms containing x to the left, all other terms to the right
-3x=2
x=2/-3
x=-2/3

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