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

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



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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

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



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

4(x-2)-3x

We add all the numbers together, and all the variables

-3x+4(x-2)

We multiply parentheses

-3x+4x-8

We add all the numbers together, and all the variables

x-8

Back to the equation:

-(x-8)



We add all the numbers together, and all the variables

-1x-(x-8)+6=0

We get rid of parentheses

-1x-x+8+6=0

We add all the numbers together, and all the variables

-2x+14=0

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

-2x=-14

x=-14/-2

x=+7

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