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

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



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

We move all terms to the left:

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

We multiply parentheses

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



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

2(x-1)-5

We multiply parentheses

2x-2-5

We add all the numbers together, and all the variables

2x-7

Back to the equation:

-(2x-7)



We add all the numbers together, and all the variables

5x-(2x-7)-12=0

We get rid of parentheses

5x-2x+7-12=0

We add all the numbers together, and all the variables

3x-5=0

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

3x=5

x=5/3

x=1+2/3

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