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

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



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

We move all terms to the left:

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

We multiply parentheses

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



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

2(x-3)-1

We multiply parentheses

2x-6-1

We add all the numbers together, and all the variables

2x-7

Back to the equation:

-(2x-7)



We get rid of parentheses

5x-2x+7-10=0

We add all the numbers together, and all the variables

3x-3=0

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

3x=3

x=3/3

x=1

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