5x+2+3(-x+2)=-4(x-3)

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Solution for 5x+2+3(-x+2)=-4(x-3) equation: 



5x+2+3(-x+2)=-4(x-3)

We move all terms to the left:

5x+2+3(-x+2)-(-4(x-3))=0

We add all the numbers together, and all the variables

5x+3(-1x+2)-(-4(x-3))+2=0

We multiply parentheses

5x-3x-(-4(x-3))+6+2=0



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

-4(x-3)

We multiply parentheses

-4x+12

Back to the equation:

-(-4x+12)



We add all the numbers together, and all the variables

2x-(-4x+12)+8=0

We get rid of parentheses

2x+4x-12+8=0

We add all the numbers together, and all the variables

6x-4=0

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

6x=4

x=4/6

x=2/3

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