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

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



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

We move all terms to the left:

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

We calculate fractions


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



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

-(2(x-2)*4)/()+()/(

We add all the numbers together, and all the variables

-(2(x-2)*4)/()+1

We multiply all the terms by the denominator


-(2(x-2)*4)+1*()



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

2(x-2)*4

We multiply parentheses

8x-16

Back to the equation:

-(8x-16)



We add all the numbers together, and all the variables

-(8x-16)

We get rid of parentheses

-8x+16

Back to the equation:

+(-8x+16)



We get rid of parentheses

5x-8x+16=0

We add all the numbers together, and all the variables

-3x+16=0

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

-3x=-16

x=-16/-3

x=5+1/3

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