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

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



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

We move all terms to the left:

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



Domain of the equation: 2x+4x-6)!=0

x∈R



We add all the numbers together, and all the variables

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

We multiply parentheses

8x+2x-(3(2x+3))-12=0



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

3(2x+3)

We multiply parentheses

6x+9

Back to the equation:

-(6x+9)



We add all the numbers together, and all the variables

10x-(6x+9)-12=0

We get rid of parentheses

10x-6x-9-12=0

We add all the numbers together, and all the variables

4x-21=0

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

4x=21

x=21/4

x=5+1/4

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