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

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



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

We move all terms to the left:

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

We multiply parentheses

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



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

2(x-3)

We multiply parentheses

2x-6

Back to the equation:

-(2x-6)



We get rid of parentheses

5x-2x+6-10=0

We add all the numbers together, and all the variables

3x-4=0

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

3x=4

x=4/3

x=1+1/3

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