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

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Solution for 8(x-3)-2(3-x)=2(x-2)-5(5-x) equation: 



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

We move all terms to the left:

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

We add all the numbers together, and all the variables

8(x-3)-2(-1x+3)-(2(x-2)-5(-1x+5))=0

We multiply parentheses

8x+2x-(2(x-2)-5(-1x+5))-24-6=0



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

2(x-2)-5(-1x+5)

We multiply parentheses

2x+5x-4-25

We add all the numbers together, and all the variables

7x-29

Back to the equation:

-(7x-29)



We add all the numbers together, and all the variables

10x-(7x-29)-30=0

We get rid of parentheses

10x-7x+29-30=0

We add all the numbers together, and all the variables

3x-1=0

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

3x=1

x=1/3

x=1/3

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