2(4x+5)=5(2x-4)+4x

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



2(4x+5)=5(2x-4)+4x

We move all terms to the left:

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

We multiply parentheses

8x-(5(2x-4)+4x)+10=0



We calculate terms in parentheses: -(5(2x-4)+4x), so:

5(2x-4)+4x

We add all the numbers together, and all the variables

4x+5(2x-4)

We multiply parentheses

4x+10x-20

We add all the numbers together, and all the variables

14x-20

Back to the equation:

-(14x-20)



We get rid of parentheses

8x-14x+20+10=0

We add all the numbers together, and all the variables

-6x+30=0

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

-6x=-30

x=-30/-6

x=+5

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