5(x-2)=2(9-x)

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Solution for 5(x-2)=2(9-x) equation: 



5(x-2)=2(9-x)

We move all terms to the left:

5(x-2)-(2(9-x))=0

We add all the numbers together, and all the variables

5(x-2)-(2(-1x+9))=0

We multiply parentheses

5x-(2(-1x+9))-10=0



We calculate terms in parentheses: -(2(-1x+9)), so:

2(-1x+9)

We multiply parentheses

-2x+18

Back to the equation:

-(-2x+18)



We get rid of parentheses

5x+2x-18-10=0

We add all the numbers together, and all the variables

7x-28=0

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

7x=28

x=28/7

x=4

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