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

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



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

We move all terms to the left:

2(x-4)-(5(2-3x))=0

We add all the numbers together, and all the variables

2(x-4)-(5(-3x+2))=0

We multiply parentheses

2x-(5(-3x+2))-8=0



We calculate terms in parentheses: -(5(-3x+2)), so:

5(-3x+2)

We multiply parentheses

-15x+10

Back to the equation:

-(-15x+10)



We get rid of parentheses

2x+15x-10-8=0

We add all the numbers together, and all the variables

17x-18=0

We move all terms containing x to the left, all other terms to the right

17x=18

x=18/17

x=1+1/17

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