5(x-3)=10(9-x)

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Solution for 5(x-3)=10(9-x) equation: 



5(x-3)=10(9-x)

We move all terms to the left:

5(x-3)-(10(9-x))=0

We add all the numbers together, and all the variables

5(x-3)-(10(-1x+9))=0

We multiply parentheses

5x-(10(-1x+9))-15=0



We calculate terms in parentheses: -(10(-1x+9)), so:

10(-1x+9)

We multiply parentheses

-10x+90

Back to the equation:

-(-10x+90)



We get rid of parentheses

5x+10x-90-15=0

We add all the numbers together, and all the variables

15x-105=0

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

15x=105

x=105/15

x=7

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