(2x+-7)/(2x+4)=2/3

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Solution for (2x+-7)/(2x+4)=2/3 equation: 



(2x+-7)/(2x+4)=2/3

We move all terms to the left:

(2x+-7)/(2x+4)-(2/3)=0



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

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

2x!=-4

x!=-4/2

x!=-2

x∈R



We add all the numbers together, and all the variables

(2x-7)/(2x+4)-(+2/3)=0

We get rid of parentheses

(2x-7)/(2x+4)-2/3=0

We calculate fractions


(6x-21)/(6x+12)+(-4x-8)/(6x+12)=0

We multiply all the terms by the denominator


(6x-21)+(-4x-8)=0

We get rid of parentheses

6x-4x-21-8=0

We add all the numbers together, and all the variables

2x-29=0

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

2x=29

x=29/2

x=14+1/2

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