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

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



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

We move all terms to the left:

4(x-1)-(5(2-x))=0

We add all the numbers together, and all the variables

4(x-1)-(5(-1x+2))=0

We multiply parentheses

4x-(5(-1x+2))-4=0



We calculate terms in parentheses: -(5(-1x+2)), so:

5(-1x+2)

We multiply parentheses

-5x+10

Back to the equation:

-(-5x+10)



We get rid of parentheses

4x+5x-10-4=0

We add all the numbers together, and all the variables

9x-14=0

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

9x=14

x=14/9

x=1+5/9

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