5(x-2)=3(4x-2)-6

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Solution for 5(x-2)=3(4x-2)-6 equation: 



5(x-2)=3(4x-2)-6

We move all terms to the left:

5(x-2)-(3(4x-2)-6)=0

We multiply parentheses

5x-(3(4x-2)-6)-10=0



We calculate terms in parentheses: -(3(4x-2)-6), so:

3(4x-2)-6

We multiply parentheses

12x-6-6

We add all the numbers together, and all the variables

12x-12

Back to the equation:

-(12x-12)



We get rid of parentheses

5x-12x+12-10=0

We add all the numbers together, and all the variables

-7x+2=0

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

-7x=-2

x=-2/-7

x=2/7

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