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

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



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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

2x-(5(-2x+3)-1)-10=0



We calculate terms in parentheses: -(5(-2x+3)-1), so:

5(-2x+3)-1

We multiply parentheses

-10x+15-1

We add all the numbers together, and all the variables

-10x+14

Back to the equation:

-(-10x+14)



We get rid of parentheses

2x+10x-14-10=0

We add all the numbers together, and all the variables

12x-24=0

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

12x=24

x=24/12

x=2

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