2(1+3x)=5(x-4)

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Solution for 2(1+3x)=5(x-4) equation:



2(1+3x)=5(x-4)
We move all terms to the left:
2(1+3x)-(5(x-4))=0
We add all the numbers together, and all the variables
2(3x+1)-(5(x-4))=0
We multiply parentheses
6x-(5(x-4))+2=0
We calculate terms in parentheses: -(5(x-4)), so:
5(x-4)
We multiply parentheses
5x-20
Back to the equation:
-(5x-20)
We get rid of parentheses
6x-5x+20+2=0
We add all the numbers together, and all the variables
x+22=0
We move all terms containing x to the left, all other terms to the right
x=-22

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