2(4x-5)=7(8-2x)

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Solution for 2(4x-5)=7(8-2x) equation: 



2(4x-5)=7(8-2x)

We move all terms to the left:

2(4x-5)-(7(8-2x))=0

We add all the numbers together, and all the variables

2(4x-5)-(7(-2x+8))=0

We multiply parentheses

8x-(7(-2x+8))-10=0



We calculate terms in parentheses: -(7(-2x+8)), so:

7(-2x+8)

We multiply parentheses

-14x+56

Back to the equation:

-(-14x+56)



We get rid of parentheses

8x+14x-56-10=0

We add all the numbers together, and all the variables

22x-66=0

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

22x=66

x=66/22

x=3

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