2(2x+1)=3(-4x+4)+6

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Solution for 2(2x+1)=3(-4x+4)+6 equation: 



2(2x+1)=3(-4x+4)+6

We move all terms to the left:

2(2x+1)-(3(-4x+4)+6)=0

We multiply parentheses

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



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

3(-4x+4)+6

We multiply parentheses

-12x+12+6

We add all the numbers together, and all the variables

-12x+18

Back to the equation:

-(-12x+18)



We get rid of parentheses

4x+12x-18+2=0

We add all the numbers together, and all the variables

16x-16=0

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

16x=16

x=16/16

x=1

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