5x-6(x-7)=8x-9(10-x)

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Solution for 5x-6(x-7)=8x-9(10-x) equation: 



5x-6(x-7)=8x-9(10-x)

We move all terms to the left:

5x-6(x-7)-(8x-9(10-x))=0

We add all the numbers together, and all the variables

5x-6(x-7)-(8x-9(-1x+10))=0

We multiply parentheses

5x-6x-(8x-9(-1x+10))+42=0



We calculate terms in parentheses: -(8x-9(-1x+10)), so:

8x-9(-1x+10)

We multiply parentheses

8x+9x-90

We add all the numbers together, and all the variables

17x-90

Back to the equation:

-(17x-90)



We add all the numbers together, and all the variables

-1x-(17x-90)+42=0

We get rid of parentheses

-1x-17x+90+42=0

We add all the numbers together, and all the variables

-18x+132=0

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

-18x=-132

x=-132/-18

x=7+1/3

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