2(4x-14)=3(2-3x)

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Solution for 2(4x-14)=3(2-3x) equation: 



2(4x-14)=3(2-3x)

We move all terms to the left:

2(4x-14)-(3(2-3x))=0

We add all the numbers together, and all the variables

2(4x-14)-(3(-3x+2))=0

We multiply parentheses

8x-(3(-3x+2))-28=0



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

3(-3x+2)

We multiply parentheses

-9x+6

Back to the equation:

-(-9x+6)



We get rid of parentheses

8x+9x-6-28=0

We add all the numbers together, and all the variables

17x-34=0

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

17x=34

x=34/17

x=2

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