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

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



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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

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



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

3(-2x+5)

We multiply parentheses

-6x+15

Back to the equation:

-(-6x+15)



We get rid of parentheses

2x+6x-15-2=0

We add all the numbers together, and all the variables

8x-17=0

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

8x=17

x=17/8

x=2+1/8

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