2(x-2)=5(3-x)-1

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Solution for 2(x-2)=5(3-x)-1 equation: 



2(x-2)=5(3-x)-1

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

2x-(5(-1x+3)-1)-4=0



We calculate terms in parentheses: -(5(-1x+3)-1), so:

5(-1x+3)-1

We multiply parentheses

-5x+15-1

We add all the numbers together, and all the variables

-5x+14

Back to the equation:

-(-5x+14)



We get rid of parentheses

2x+5x-14-4=0

We add all the numbers together, and all the variables

7x-18=0

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

7x=18

x=18/7

x=2+4/7

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